Mock modular form (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Mock modular form" in English language version.

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28ams.org

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afolsom.people.amherst.edu

Bringmann, Folsom & Ono 2009. Bringmann, Kathrin; Folsom, Amanda; Ono, Ken (2009), "q-series and weight 3/2 Maass forms" (PDF), Compositio Mathematica, 145 (3): 541–552, doi:10.1112/S0010437X09004072, S2CID 7688222

ams.org

mathscinet.ams.org

Zwegers 2001. Zwegers, S. P. (2001), "Mock θ-functions and real analytic modular forms", q-series with applications to combinatorics, number theory, and physics (Urbana, IL, 2000), Contemp. Math., vol. 291, Providence, R.I.: American Mathematical Society, pp. 269–277, ISBN 978-0-8218-2746-8, MR 1874536
Ramanujan 2000, Appendix II. Ramanujan, Srinivasa (2000), "Collected papers of Srinivasa Ramanujan", Nature, 123 (3104), Providence, R.I.: 631, Bibcode:1929Natur.123..631L, doi:10.1038/123631a0, ISBN 978-0-8218-2076-6, MR 2280843, S2CID 44812911
Ramanujan 1988. Ramanujan, Srinivasa (1988), The lost notebook and other unpublished papers, Berlin, New York: Springer-Verlag, ISBN 978-3-540-18726-4, MR 0947735
Dragonette 1952. Dragonette, Leila A. (1952), "Some asymptotic formulae for the mock theta series of Ramanujan", Transactions of the American Mathematical Society, 72 (3): 474–500, doi:10.2307/1990714, ISSN 0002-9947, JSTOR 1990714, MR 0049927
Bringmann & Ono 2006. Bringmann, Kathrin; Ono, Ken (2006), "The f(q) mock theta function conjecture and partition ranks" (PDF), Inventiones Mathematicae, 165 (2): 243–266, Bibcode:2006InMat.165..243B, doi:10.1007/s00222-005-0493-5, ISSN 0020-9910, MR 2231957, S2CID 120388256
Bruinier & Funke 2004. Bruinier, Jan Hendrik; Funke, Jens (2004), "On two geometric theta lifts", Duke Mathematical Journal, 125 (1): 45–90, arXiv:math/0212286, doi:10.1215/S0012-7094-04-12513-8, ISSN 0012-7094, MR 2097357, S2CID 2078210
Zagier 2007. Zagier, Don (2009) [First published 2007], "Ramanujan's mock theta functions and their applications (after Zwegers and Ono-Bringmann)" (PDF), Séminaire Bourbaki. Exp. 986, Astérisque, 326: 143–164, ISSN 0303-1179, MR 2605321
Andrews 1986. Andrews, George E. (1986), "The fifth and seventh order mock theta functions", Transactions of the American Mathematical Society, 293 (1): 113–134, doi:10.2307/2000275, ISSN 0002-9947, JSTOR 2000275, MR 0814916
Hickerson 1988b. Hickerson, Dean (1988b), "On the seventh order mock theta functions", Inventiones Mathematicae, 94 (3): 661–677, Bibcode:1988InMat..94..661H, doi:10.1007/BF01394280, ISSN 0020-9910, MR 0969247, S2CID 121384412
Andrews 1988. Andrews, George E. (1988), "Ramanujan's fifth order mock theta functions as constant terms", Ramanujan revisited (Urbana-Champaign, Ill., 1987), Boston, MA: Academic Press, pp. 47–56, MR 0938959
Lawrence & Zagier 1999. Lawrence, Ruth; Zagier, Don (1999), "Modular forms and quantum invariants of 3-manifolds", The Asian Journal of Mathematics, 3 (1): 93–107, doi:10.4310/AJM.1999.v3.n1.a5, ISSN 1093-6106, MR 1701924
Semikhatov, Taormina & Tipunin 2005. Semikhatov, A. M.; Taormina, A.; Tipunin, I. Yu (2005), "Higher-level Appell functions, modular transformations, and characters", Communications in Mathematical Physics, 255 (2): 469–512, arXiv:math/0311314, Bibcode:2005CMaPh.255..469S, doi:10.1007/s00220-004-1280-7, ISSN 0010-3616, MR 2129953, S2CID 14466569
Zagier 1975. Zagier, Don (1975), "Nombres de classes et formes modulaires de poids 3/2", Comptes Rendus de l'Académie des Sciences, Série A et B, 281 (21): Ai, A883 – A886, ISSN 0151-0509, MR 0429750
Hirzebruch & Zagier 1976, 2.2. Hirzebruch, Friedrich; Zagier, Don (1976), "Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus", Inventiones Mathematicae, 36: 57–113, Bibcode:1976InMat..36...57H, doi:10.1007/BF01390005, hdl:21.11116/0000-0004-399B-E, ISSN 0020-9910, MR 0453649, S2CID 56568473
Serre & Stark 1977. Serre, Jean-Pierre; Stark, H. M. (1977), "Modular forms of weight 1/2", Modular functions of one variable, VI (Proc. Second Internat. Conf., Univ. Bonn, Bonn, 1976), Lecture Notes in Mathematics, vol. 627, Berlin, New York: Springer-Verlag, pp. 27–67, doi:10.1007/BFb0065296, ISBN 978-3-540-08530-0, MR 0472707
McIntosh 2007. McIntosh, Richard J. (2007), "Second order mock theta functions", Canadian Mathematical Bulletin, 50 (2): 284–290, doi:10.4153/CMB-2007-028-9, ISSN 0008-4395, MR 2317449, S2CID 119499438
Fine 1988. Fine, Nathan J. (1988), Basic hypergeometric series and applications, Mathematical Surveys and Monographs, vol. 27, Providence, R.I.: American Mathematical Society, ISBN 978-0-8218-1524-3, MR 0956465
Andrews & Garvan 1989. Andrews, George E.; Garvan, F. G. (1989), "Ramanujan's lost notebook. VI. The mock theta conjectures", Advances in Mathematics, 73 (2): 242–255, doi:10.1016/0001-8708(89)90070-4, ISSN 0001-8708, MR 0987276
Hickerson 1988a. Hickerson, Dean (1988a), "A proof of the mock theta conjectures", Inventiones Mathematicae, 94 (3): 639–660, Bibcode:1988InMat..94..639H, doi:10.1007/BF01394279, ISSN 0020-9910, MR 0969247, S2CID 122492320
Andrews & Hickerson 1991. Andrews, George E.; Hickerson, Dean (1991), "Ramanujan's lost notebook. VII. The sixth order mock theta functions", Advances in Mathematics, 89 (1): 60–105, doi:10.1016/0001-8708(91)90083-J, ISSN 0001-8708, MR 1123099
Berndt & Chan 2007. Berndt, Bruce C.; Chan, Song Heng (2007), "Sixth order mock theta functions", Advances in Mathematics, 216 (2): 771–786, doi:10.1016/j.aim.2007.06.004, ISSN 0001-8708, MR 2351377
Gordon & McIntosh 2000. Gordon, Basil; McIntosh, Richard J. (2000), "Some eighth order mock theta functions", Journal of the London Mathematical Society, 62 (2): 321–335, doi:10.1112/S0024610700008735, ISSN 0024-6107, MR 1783627, S2CID 123182909
Ramanujan 1988, p. 8, eqn 1; p. 29 eqn 6. Ramanujan, Srinivasa (1988), The lost notebook and other unpublished papers, Berlin, New York: Springer-Verlag, ISBN 978-3-540-18726-4, MR 0947735
Ramanujan 1988, p. 9. Ramanujan, Srinivasa (1988), The lost notebook and other unpublished papers, Berlin, New York: Springer-Verlag, ISBN 978-3-540-18726-4, MR 0947735
Choi 1999. Choi, Youn-Seo (1999), "Tenth order mock theta functions in Ramanujan's lost notebook", Inventiones Mathematicae, 136 (3): 497–569, Bibcode:1999InMat.136..497C, doi:10.1007/s002220050318, ISSN 0020-9910, MR 1695205, S2CID 125193659
Choi 2000. Choi, Youn-Seo (2000), "Tenth order mock theta functions in Ramanujan's lost notebook. II", Advances in Mathematics, 156 (2): 180–285, doi:10.1006/aima.2000.1948, ISSN 0001-8708, MR 1808245
Choi 2002. Choi, Youn-Seo (2002), "Tenth order mock theta functions in Ramanujan's lost notebook. IV", Transactions of the American Mathematical Society, 354 (2): 705–733, doi:10.1090/S0002-9947-01-02861-6, ISSN 0002-9947, JSTOR 2693766, MR 1862564
Choi 2007. Choi, Youn-Seo (2007), "Tenth order mock theta functions in Ramanujan's lost notebook. III", Proceedings of the London Mathematical Society, 94 (1): 26–52, doi:10.1112/plms/pdl006, ISSN 0024-6115, MR 2293464, S2CID 122732998

arxiv.org

Bruinier & Funke 2004. Bruinier, Jan Hendrik; Funke, Jens (2004), "On two geometric theta lifts", Duke Mathematical Journal, 125 (1): 45–90, arXiv:math/0212286, doi:10.1215/S0012-7094-04-12513-8, ISSN 0012-7094, MR 2097357, S2CID 2078210
Semikhatov, Taormina & Tipunin 2005. Semikhatov, A. M.; Taormina, A.; Tipunin, I. Yu (2005), "Higher-level Appell functions, modular transformations, and characters", Communications in Mathematical Physics, 255 (2): 469–512, arXiv:math/0311314, Bibcode:2005CMaPh.255..469S, doi:10.1007/s00220-004-1280-7, ISSN 0010-3616, MR 2129953, S2CID 14466569
Troost 2010. Troost, J. (2010), "The Non-Compact Elliptic Genus: Mock or Modular", Journal of High Energy Physics, 2010 (6): 104, arXiv:1004.3649, Bibcode:2010JHEP...06..104T, doi:10.1007/JHEP06(2010)104, S2CID 84838021
Dabholkar, Murthy & Zagier 2012. Dabholkar, Atish; Murthy, Sameer; Zagier, Don (2012), "Quantum Black Holes, Wall Crossing, and Mock Modular Forms", arXiv:1208.4074 [hep-th]{{cite arXiv}}: CS1 maint: overridden setting (link)

cambridge.org

journals.cambridge.org

Gordon & McIntosh 2000. Gordon, Basil; McIntosh, Richard J. (2000), "Some eighth order mock theta functions", Journal of the London Mathematical Society, 62 (2): 321–335, doi:10.1112/S0024610700008735, ISSN 0024-6107, MR 1783627, S2CID 123182909

doi.org

Ramanujan 2000, Appendix II. Ramanujan, Srinivasa (2000), "Collected papers of Srinivasa Ramanujan", Nature, 123 (3104), Providence, R.I.: 631, Bibcode:1929Natur.123..631L, doi:10.1038/123631a0, ISBN 978-0-8218-2076-6, MR 2280843, S2CID 44812911
Watson 1936. Watson, G. N. (1936), "The Final Problem: An Account of the Mock Theta Functions", Journal of the London Mathematical Society, 11: 55–80, doi:10.1112/jlms/s1-11.1.55
Bringmann, Folsom & Ono 2009. Bringmann, Kathrin; Folsom, Amanda; Ono, Ken (2009), "q-series and weight 3/2 Maass forms" (PDF), Compositio Mathematica, 145 (3): 541–552, doi:10.1112/S0010437X09004072, S2CID 7688222
Dragonette 1952. Dragonette, Leila A. (1952), "Some asymptotic formulae for the mock theta series of Ramanujan", Transactions of the American Mathematical Society, 72 (3): 474–500, doi:10.2307/1990714, ISSN 0002-9947, JSTOR 1990714, MR 0049927
Bringmann & Ono 2006. Bringmann, Kathrin; Ono, Ken (2006), "The f(q) mock theta function conjecture and partition ranks" (PDF), Inventiones Mathematicae, 165 (2): 243–266, Bibcode:2006InMat.165..243B, doi:10.1007/s00222-005-0493-5, ISSN 0020-9910, MR 2231957, S2CID 120388256
Bruinier & Funke 2004. Bruinier, Jan Hendrik; Funke, Jens (2004), "On two geometric theta lifts", Duke Mathematical Journal, 125 (1): 45–90, arXiv:math/0212286, doi:10.1215/S0012-7094-04-12513-8, ISSN 0012-7094, MR 2097357, S2CID 2078210
Appell 1884. Appell, P. (1884), "Sur les fonctions doublement périodiques de troisième espèce", Annales Scientifiques de l'École Normale Supérieure, 1: 135–164, doi:10.24033/asens.236
Andrews 1986. Andrews, George E. (1986), "The fifth and seventh order mock theta functions", Transactions of the American Mathematical Society, 293 (1): 113–134, doi:10.2307/2000275, ISSN 0002-9947, JSTOR 2000275, MR 0814916
Hickerson 1988b. Hickerson, Dean (1988b), "On the seventh order mock theta functions", Inventiones Mathematicae, 94 (3): 661–677, Bibcode:1988InMat..94..661H, doi:10.1007/BF01394280, ISSN 0020-9910, MR 0969247, S2CID 121384412
Lawrence & Zagier 1999. Lawrence, Ruth; Zagier, Don (1999), "Modular forms and quantum invariants of 3-manifolds", The Asian Journal of Mathematics, 3 (1): 93–107, doi:10.4310/AJM.1999.v3.n1.a5, ISSN 1093-6106, MR 1701924
Semikhatov, Taormina & Tipunin 2005. Semikhatov, A. M.; Taormina, A.; Tipunin, I. Yu (2005), "Higher-level Appell functions, modular transformations, and characters", Communications in Mathematical Physics, 255 (2): 469–512, arXiv:math/0311314, Bibcode:2005CMaPh.255..469S, doi:10.1007/s00220-004-1280-7, ISSN 0010-3616, MR 2129953, S2CID 14466569
Troost 2010. Troost, J. (2010), "The Non-Compact Elliptic Genus: Mock or Modular", Journal of High Energy Physics, 2010 (6): 104, arXiv:1004.3649, Bibcode:2010JHEP...06..104T, doi:10.1007/JHEP06(2010)104, S2CID 84838021
Hirzebruch & Zagier 1976, 2.2. Hirzebruch, Friedrich; Zagier, Don (1976), "Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus", Inventiones Mathematicae, 36: 57–113, Bibcode:1976InMat..36...57H, doi:10.1007/BF01390005, hdl:21.11116/0000-0004-399B-E, ISSN 0020-9910, MR 0453649, S2CID 56568473
Serre & Stark 1977. Serre, Jean-Pierre; Stark, H. M. (1977), "Modular forms of weight 1/2", Modular functions of one variable, VI (Proc. Second Internat. Conf., Univ. Bonn, Bonn, 1976), Lecture Notes in Mathematics, vol. 627, Berlin, New York: Springer-Verlag, pp. 27–67, doi:10.1007/BFb0065296, ISBN 978-3-540-08530-0, MR 0472707
McIntosh 2007. McIntosh, Richard J. (2007), "Second order mock theta functions", Canadian Mathematical Bulletin, 50 (2): 284–290, doi:10.4153/CMB-2007-028-9, ISSN 0008-4395, MR 2317449, S2CID 119499438
Watson 1937. Watson, G. N. (1937), "The Mock Theta Functions (2)", Proceedings of the London Mathematical Society, s2-42: 274–304, doi:10.1112/plms/s2-42.1.274
Andrews & Garvan 1989. Andrews, George E.; Garvan, F. G. (1989), "Ramanujan's lost notebook. VI. The mock theta conjectures", Advances in Mathematics, 73 (2): 242–255, doi:10.1016/0001-8708(89)90070-4, ISSN 0001-8708, MR 0987276
Hickerson 1988a. Hickerson, Dean (1988a), "A proof of the mock theta conjectures", Inventiones Mathematicae, 94 (3): 639–660, Bibcode:1988InMat..94..639H, doi:10.1007/BF01394279, ISSN 0020-9910, MR 0969247, S2CID 122492320
Andrews & Hickerson 1991. Andrews, George E.; Hickerson, Dean (1991), "Ramanujan's lost notebook. VII. The sixth order mock theta functions", Advances in Mathematics, 89 (1): 60–105, doi:10.1016/0001-8708(91)90083-J, ISSN 0001-8708, MR 1123099
Berndt & Chan 2007. Berndt, Bruce C.; Chan, Song Heng (2007), "Sixth order mock theta functions", Advances in Mathematics, 216 (2): 771–786, doi:10.1016/j.aim.2007.06.004, ISSN 0001-8708, MR 2351377
Gordon & McIntosh 2000. Gordon, Basil; McIntosh, Richard J. (2000), "Some eighth order mock theta functions", Journal of the London Mathematical Society, 62 (2): 321–335, doi:10.1112/S0024610700008735, ISSN 0024-6107, MR 1783627, S2CID 123182909
Choi 1999. Choi, Youn-Seo (1999), "Tenth order mock theta functions in Ramanujan's lost notebook", Inventiones Mathematicae, 136 (3): 497–569, Bibcode:1999InMat.136..497C, doi:10.1007/s002220050318, ISSN 0020-9910, MR 1695205, S2CID 125193659
Choi 2000. Choi, Youn-Seo (2000), "Tenth order mock theta functions in Ramanujan's lost notebook. II", Advances in Mathematics, 156 (2): 180–285, doi:10.1006/aima.2000.1948, ISSN 0001-8708, MR 1808245
Choi 2002. Choi, Youn-Seo (2002), "Tenth order mock theta functions in Ramanujan's lost notebook. IV", Transactions of the American Mathematical Society, 354 (2): 705–733, doi:10.1090/S0002-9947-01-02861-6, ISSN 0002-9947, JSTOR 2693766, MR 1862564
Choi 2007. Choi, Youn-Seo (2007), "Tenth order mock theta functions in Ramanujan's lost notebook. III", Proceedings of the London Mathematical Society, 94 (1): 26–52, doi:10.1112/plms/pdl006, ISSN 0024-6115, MR 2293464, S2CID 122732998

handle.net

hdl.handle.net

Hirzebruch & Zagier 1976, 2.2. Hirzebruch, Friedrich; Zagier, Don (1976), "Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus", Inventiones Mathematicae, 36: 57–113, Bibcode:1976InMat..36...57H, doi:10.1007/BF01390005, hdl:21.11116/0000-0004-399B-E, ISSN 0020-9910, MR 0453649, S2CID 56568473

harvard.edu

ui.adsabs.harvard.edu

Ramanujan 2000, Appendix II. Ramanujan, Srinivasa (2000), "Collected papers of Srinivasa Ramanujan", Nature, 123 (3104), Providence, R.I.: 631, Bibcode:1929Natur.123..631L, doi:10.1038/123631a0, ISBN 978-0-8218-2076-6, MR 2280843, S2CID 44812911
Bringmann & Ono 2006. Bringmann, Kathrin; Ono, Ken (2006), "The f(q) mock theta function conjecture and partition ranks" (PDF), Inventiones Mathematicae, 165 (2): 243–266, Bibcode:2006InMat.165..243B, doi:10.1007/s00222-005-0493-5, ISSN 0020-9910, MR 2231957, S2CID 120388256
Hickerson 1988b. Hickerson, Dean (1988b), "On the seventh order mock theta functions", Inventiones Mathematicae, 94 (3): 661–677, Bibcode:1988InMat..94..661H, doi:10.1007/BF01394280, ISSN 0020-9910, MR 0969247, S2CID 121384412
Semikhatov, Taormina & Tipunin 2005. Semikhatov, A. M.; Taormina, A.; Tipunin, I. Yu (2005), "Higher-level Appell functions, modular transformations, and characters", Communications in Mathematical Physics, 255 (2): 469–512, arXiv:math/0311314, Bibcode:2005CMaPh.255..469S, doi:10.1007/s00220-004-1280-7, ISSN 0010-3616, MR 2129953, S2CID 14466569
Troost 2010. Troost, J. (2010), "The Non-Compact Elliptic Genus: Mock or Modular", Journal of High Energy Physics, 2010 (6): 104, arXiv:1004.3649, Bibcode:2010JHEP...06..104T, doi:10.1007/JHEP06(2010)104, S2CID 84838021
Hirzebruch & Zagier 1976, 2.2. Hirzebruch, Friedrich; Zagier, Don (1976), "Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus", Inventiones Mathematicae, 36: 57–113, Bibcode:1976InMat..36...57H, doi:10.1007/BF01390005, hdl:21.11116/0000-0004-399B-E, ISSN 0020-9910, MR 0453649, S2CID 56568473
Hickerson 1988a. Hickerson, Dean (1988a), "A proof of the mock theta conjectures", Inventiones Mathematicae, 94 (3): 639–660, Bibcode:1988InMat..94..639H, doi:10.1007/BF01394279, ISSN 0020-9910, MR 0969247, S2CID 122492320
Choi 1999. Choi, Youn-Seo (1999), "Tenth order mock theta functions in Ramanujan's lost notebook", Inventiones Mathematicae, 136 (3): 497–569, Bibcode:1999InMat.136..497C, doi:10.1007/s002220050318, ISSN 0020-9910, MR 1695205, S2CID 125193659

jstor.org

Dragonette 1952. Dragonette, Leila A. (1952), "Some asymptotic formulae for the mock theta series of Ramanujan", Transactions of the American Mathematical Society, 72 (3): 474–500, doi:10.2307/1990714, ISSN 0002-9947, JSTOR 1990714, MR 0049927
Andrews 1986. Andrews, George E. (1986), "The fifth and seventh order mock theta functions", Transactions of the American Mathematical Society, 293 (1): 113–134, doi:10.2307/2000275, ISSN 0002-9947, JSTOR 2000275, MR 0814916
Choi 2002. Choi, Youn-Seo (2002), "Tenth order mock theta functions in Ramanujan's lost notebook. IV", Transactions of the American Mathematical Society, 354 (2): 705–733, doi:10.1090/S0002-9947-01-02861-6, ISSN 0002-9947, JSTOR 2693766, MR 1862564

mpg.de

people.mpim-bonn.mpg.de

Zagier 2007. Zagier, Don (2009) [First published 2007], "Ramanujan's mock theta functions and their applications (after Zwegers and Ono-Bringmann)" (PDF), Séminaire Bourbaki. Exp. 986, Astérisque, 326: 143–164, ISSN 0303-1179, MR 2605321

semanticscholar.org

api.semanticscholar.org

Ramanujan 2000, Appendix II. Ramanujan, Srinivasa (2000), "Collected papers of Srinivasa Ramanujan", Nature, 123 (3104), Providence, R.I.: 631, Bibcode:1929Natur.123..631L, doi:10.1038/123631a0, ISBN 978-0-8218-2076-6, MR 2280843, S2CID 44812911
Bringmann, Folsom & Ono 2009. Bringmann, Kathrin; Folsom, Amanda; Ono, Ken (2009), "q-series and weight 3/2 Maass forms" (PDF), Compositio Mathematica, 145 (3): 541–552, doi:10.1112/S0010437X09004072, S2CID 7688222
Bringmann & Ono 2006. Bringmann, Kathrin; Ono, Ken (2006), "The f(q) mock theta function conjecture and partition ranks" (PDF), Inventiones Mathematicae, 165 (2): 243–266, Bibcode:2006InMat.165..243B, doi:10.1007/s00222-005-0493-5, ISSN 0020-9910, MR 2231957, S2CID 120388256
Bruinier & Funke 2004. Bruinier, Jan Hendrik; Funke, Jens (2004), "On two geometric theta lifts", Duke Mathematical Journal, 125 (1): 45–90, arXiv:math/0212286, doi:10.1215/S0012-7094-04-12513-8, ISSN 0012-7094, MR 2097357, S2CID 2078210
Hickerson 1988b. Hickerson, Dean (1988b), "On the seventh order mock theta functions", Inventiones Mathematicae, 94 (3): 661–677, Bibcode:1988InMat..94..661H, doi:10.1007/BF01394280, ISSN 0020-9910, MR 0969247, S2CID 121384412
Semikhatov, Taormina & Tipunin 2005. Semikhatov, A. M.; Taormina, A.; Tipunin, I. Yu (2005), "Higher-level Appell functions, modular transformations, and characters", Communications in Mathematical Physics, 255 (2): 469–512, arXiv:math/0311314, Bibcode:2005CMaPh.255..469S, doi:10.1007/s00220-004-1280-7, ISSN 0010-3616, MR 2129953, S2CID 14466569
Troost 2010. Troost, J. (2010), "The Non-Compact Elliptic Genus: Mock or Modular", Journal of High Energy Physics, 2010 (6): 104, arXiv:1004.3649, Bibcode:2010JHEP...06..104T, doi:10.1007/JHEP06(2010)104, S2CID 84838021
Hirzebruch & Zagier 1976, 2.2. Hirzebruch, Friedrich; Zagier, Don (1976), "Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus", Inventiones Mathematicae, 36: 57–113, Bibcode:1976InMat..36...57H, doi:10.1007/BF01390005, hdl:21.11116/0000-0004-399B-E, ISSN 0020-9910, MR 0453649, S2CID 56568473
McIntosh 2007. McIntosh, Richard J. (2007), "Second order mock theta functions", Canadian Mathematical Bulletin, 50 (2): 284–290, doi:10.4153/CMB-2007-028-9, ISSN 0008-4395, MR 2317449, S2CID 119499438
Hickerson 1988a. Hickerson, Dean (1988a), "A proof of the mock theta conjectures", Inventiones Mathematicae, 94 (3): 639–660, Bibcode:1988InMat..94..639H, doi:10.1007/BF01394279, ISSN 0020-9910, MR 0969247, S2CID 122492320
Gordon & McIntosh 2000. Gordon, Basil; McIntosh, Richard J. (2000), "Some eighth order mock theta functions", Journal of the London Mathematical Society, 62 (2): 321–335, doi:10.1112/S0024610700008735, ISSN 0024-6107, MR 1783627, S2CID 123182909
Choi 1999. Choi, Youn-Seo (1999), "Tenth order mock theta functions in Ramanujan's lost notebook", Inventiones Mathematicae, 136 (3): 497–569, Bibcode:1999InMat.136..497C, doi:10.1007/s002220050318, ISSN 0020-9910, MR 1695205, S2CID 125193659
Choi 2007. Choi, Youn-Seo (2007), "Tenth order mock theta functions in Ramanujan's lost notebook. III", Proceedings of the London Mathematical Society, 94 (1): 26–52, doi:10.1112/plms/pdl006, ISSN 0024-6115, MR 2293464, S2CID 122732998

theopenscholar.com

uva.theopenscholar.com

Bringmann & Ono 2006. Bringmann, Kathrin; Ono, Ken (2006), "The f(q) mock theta function conjecture and partition ranks" (PDF), Inventiones Mathematicae, 165 (2): 243–266, Bibcode:2006InMat.165..243B, doi:10.1007/s00222-005-0493-5, ISSN 0020-9910, MR 2231957, S2CID 120388256

uu.nl

igitur-archive.library.uu.nl

Zwegers 2002. Zwegers, S. P. (2002), Mock Theta Functions, Utrecht PhD thesis, ISBN 90-393-3155-3

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Dragonette 1952. Dragonette, Leila A. (1952), "Some asymptotic formulae for the mock theta series of Ramanujan", Transactions of the American Mathematical Society, 72 (3): 474–500, doi:10.2307/1990714, ISSN 0002-9947, JSTOR 1990714, MR 0049927
Bringmann & Ono 2006. Bringmann, Kathrin; Ono, Ken (2006), "The f(q) mock theta function conjecture and partition ranks" (PDF), Inventiones Mathematicae, 165 (2): 243–266, Bibcode:2006InMat.165..243B, doi:10.1007/s00222-005-0493-5, ISSN 0020-9910, MR 2231957, S2CID 120388256
Bruinier & Funke 2004. Bruinier, Jan Hendrik; Funke, Jens (2004), "On two geometric theta lifts", Duke Mathematical Journal, 125 (1): 45–90, arXiv:math/0212286, doi:10.1215/S0012-7094-04-12513-8, ISSN 0012-7094, MR 2097357, S2CID 2078210
Zagier 2007. Zagier, Don (2009) [First published 2007], "Ramanujan's mock theta functions and their applications (after Zwegers and Ono-Bringmann)" (PDF), Séminaire Bourbaki. Exp. 986, Astérisque, 326: 143–164, ISSN 0303-1179, MR 2605321
Andrews 1986. Andrews, George E. (1986), "The fifth and seventh order mock theta functions", Transactions of the American Mathematical Society, 293 (1): 113–134, doi:10.2307/2000275, ISSN 0002-9947, JSTOR 2000275, MR 0814916
Hickerson 1988b. Hickerson, Dean (1988b), "On the seventh order mock theta functions", Inventiones Mathematicae, 94 (3): 661–677, Bibcode:1988InMat..94..661H, doi:10.1007/BF01394280, ISSN 0020-9910, MR 0969247, S2CID 121384412
Lawrence & Zagier 1999. Lawrence, Ruth; Zagier, Don (1999), "Modular forms and quantum invariants of 3-manifolds", The Asian Journal of Mathematics, 3 (1): 93–107, doi:10.4310/AJM.1999.v3.n1.a5, ISSN 1093-6106, MR 1701924
Semikhatov, Taormina & Tipunin 2005. Semikhatov, A. M.; Taormina, A.; Tipunin, I. Yu (2005), "Higher-level Appell functions, modular transformations, and characters", Communications in Mathematical Physics, 255 (2): 469–512, arXiv:math/0311314, Bibcode:2005CMaPh.255..469S, doi:10.1007/s00220-004-1280-7, ISSN 0010-3616, MR 2129953, S2CID 14466569
Zagier 1975. Zagier, Don (1975), "Nombres de classes et formes modulaires de poids 3/2", Comptes Rendus de l'Académie des Sciences, Série A et B, 281 (21): Ai, A883 – A886, ISSN 0151-0509, MR 0429750
Hirzebruch & Zagier 1976, 2.2. Hirzebruch, Friedrich; Zagier, Don (1976), "Intersection numbers of curves on Hilbert modular surfaces and modular forms of Nebentypus", Inventiones Mathematicae, 36: 57–113, Bibcode:1976InMat..36...57H, doi:10.1007/BF01390005, hdl:21.11116/0000-0004-399B-E, ISSN 0020-9910, MR 0453649, S2CID 56568473
McIntosh 2007. McIntosh, Richard J. (2007), "Second order mock theta functions", Canadian Mathematical Bulletin, 50 (2): 284–290, doi:10.4153/CMB-2007-028-9, ISSN 0008-4395, MR 2317449, S2CID 119499438
Andrews & Garvan 1989. Andrews, George E.; Garvan, F. G. (1989), "Ramanujan's lost notebook. VI. The mock theta conjectures", Advances in Mathematics, 73 (2): 242–255, doi:10.1016/0001-8708(89)90070-4, ISSN 0001-8708, MR 0987276
Hickerson 1988a. Hickerson, Dean (1988a), "A proof of the mock theta conjectures", Inventiones Mathematicae, 94 (3): 639–660, Bibcode:1988InMat..94..639H, doi:10.1007/BF01394279, ISSN 0020-9910, MR 0969247, S2CID 122492320
Andrews & Hickerson 1991. Andrews, George E.; Hickerson, Dean (1991), "Ramanujan's lost notebook. VII. The sixth order mock theta functions", Advances in Mathematics, 89 (1): 60–105, doi:10.1016/0001-8708(91)90083-J, ISSN 0001-8708, MR 1123099
Berndt & Chan 2007. Berndt, Bruce C.; Chan, Song Heng (2007), "Sixth order mock theta functions", Advances in Mathematics, 216 (2): 771–786, doi:10.1016/j.aim.2007.06.004, ISSN 0001-8708, MR 2351377
Gordon & McIntosh 2000. Gordon, Basil; McIntosh, Richard J. (2000), "Some eighth order mock theta functions", Journal of the London Mathematical Society, 62 (2): 321–335, doi:10.1112/S0024610700008735, ISSN 0024-6107, MR 1783627, S2CID 123182909
Choi 1999. Choi, Youn-Seo (1999), "Tenth order mock theta functions in Ramanujan's lost notebook", Inventiones Mathematicae, 136 (3): 497–569, Bibcode:1999InMat.136..497C, doi:10.1007/s002220050318, ISSN 0020-9910, MR 1695205, S2CID 125193659
Choi 2000. Choi, Youn-Seo (2000), "Tenth order mock theta functions in Ramanujan's lost notebook. II", Advances in Mathematics, 156 (2): 180–285, doi:10.1006/aima.2000.1948, ISSN 0001-8708, MR 1808245
Choi 2002. Choi, Youn-Seo (2002), "Tenth order mock theta functions in Ramanujan's lost notebook. IV", Transactions of the American Mathematical Society, 354 (2): 705–733, doi:10.1090/S0002-9947-01-02861-6, ISSN 0002-9947, JSTOR 2693766, MR 1862564
Choi 2007. Choi, Youn-Seo (2007), "Tenth order mock theta functions in Ramanujan's lost notebook. III", Proceedings of the London Mathematical Society, 94 (1): 26–52, doi:10.1112/plms/pdl006, ISSN 0024-6115, MR 2293464, S2CID 122732998