Theta function (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Theta function" in English language version.

Last modified: 22:07:08, 22 August 2026 (UTC)

Ref.Un. Ref.Website

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88doi.org

2^nd place

33wolfram.com

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22arxiv.org

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22stackexchange.com

4,114^th place

3,027^th place

11nist.gov

708^th place

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11springer.com

182^nd place

172^nd place

11semanticscholar.org

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11uni-bonn.de

6,227^th place

7,977^th place

11mpmath.org

low place

11hdl.handle.net

66^th place

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11projecteuclid.org

4,781^st place

3,117^th place

11worldcat.org

4^th place

11msu.edu

1,979^th place

1,265^th place

11researchgate.net

96^th place

89^th place

11oeis.org

1,188^th place

866^th place

arxiv.org (Global: 49^th place; English: 31^st place)

Tyurin, Andrey N. (30 October 2002). "Quantization, Classical and Quantum Field Theory and Theta-Functions". arXiv:math/0210466v1.
Berndt, Bruce C; Rebák, Örs (9 January 2022). "Explicit Values for Ramanujan's Theta Function ϕ(q)". Hardy-Ramanujan Journal. 44 8923. arXiv:2112.11882. doi:10.46298/hrj.2022.8923. S2CID 245851672.

doi.org (Global: 2^nd place; English: 2^nd place)

Tata Lectures on Theta I. Modern Birkhäuser Classics. Boston, MA: Birkhäuser Boston. 2007. p. 4. doi:10.1007/978-0-8176-4577-9. ISBN 978-0-8176-4572-4.
Yi, Jinhee (2004). "Theta-function identities and the explicit formulas for theta-function and their applications". Journal of Mathematical Analysis and Applications. 292 (2): 381–400. doi:10.1016/j.jmaa.2003.12.009.
Berndt, Bruce C; Rebák, Örs (9 January 2022). "Explicit Values for Ramanujan's Theta Function ϕ(q)". Hardy-Ramanujan Journal. 44 8923. arXiv:2112.11882. doi:10.46298/hrj.2022.8923. S2CID 245851672.
Yi, Jinhee (15 April 2004). "Theta-function identities and the explicit formulas for theta-function and their applications". Journal of Mathematical Analysis and Applications. 292 (2): 381–400. doi:10.1016/j.jmaa.2003.12.009.
Mező, István (2013), "Duplication formulae involving Jacobi theta functions and Gosper's $q$ -trigonometric functions", Proceedings of the American Mathematical Society, 141 (7): 2401–2410, doi:10.1090/s0002-9939-2013-11576-5
Mező, István (2012). "A $q$ -Raabe formula and an integral of the fourth Jacobi theta function". Journal of Number Theory. 133 (2): 692–704. doi:10.1016/j.jnt.2012.08.025. hdl:2437/166217.
Mahlburg, Karl (2004). "The overpartition function modulo small powers of 2". Discrete Mathematics. 286 (3): 263–267. doi:10.1016/j.disc.2004.03.014.
Kim, Byungchan (28 April 2009). "Elsevier Enhanced Reader". Discrete Mathematics. 309 (8): 2528–2532. doi:10.1016/j.disc.2008.05.007.

hdl.handle.net (Global: 66^th place; English: 34^th place)

Mező, István (2012). "A $q$ -Raabe formula and an integral of the fourth Jacobi theta function". Journal of Number Theory. 133 (2): 692–704. doi:10.1016/j.jnt.2012.08.025. hdl:2437/166217.

mpmath.org (Global: low place; English: low place)

"Number-theoretical, combinatorial and integer functions – mpmath 1.1.0 documentation". Retrieved 2021-07-18.

msu.edu (Global: 1,979^th place; English: 1,265^th place)

archive.lib.msu.edu

"Elliptic Integral Singular Value". msu.edu. Retrieved 2023-04-07.

nist.gov (Global: 708^th place; English: 742^nd place)

dlmf.nist.gov

See e.g. https://dlmf.nist.gov/20.1. Note that this is, in general, not equivalent to the usual interpretation $(e^{z})^{\alpha }=e^{\alpha \operatorname {Log} e^{z}}$ when $z$ is outside the strip $-\pi <\operatorname {Im} z\leq \pi$ . Here, $\operatorname {Log}$ denotes the principal branch of the complex logarithm.

oeis.org (Global: 1,188^th place; English: 866^th place)

"A000009 - OEIS". 2022-03-09.

projecteuclid.org (Global: 4,781^st place; English: 3,117^th place)

Ohyama, Yousuke (1995). "Differential relations of theta functions". Osaka Journal of Mathematics. 32 (2): 431–450. ISSN 0030-6126.

researchgate.net (Global: 96^th place; English: 89^th place)

Ramanujan's theta-function identities involving Lambert series

semanticscholar.org (Global: 15^th place; English: 8^th place)

api.semanticscholar.org

Berndt, Bruce C; Rebák, Örs (9 January 2022). "Explicit Values for Ramanujan's Theta Function ϕ(q)". Hardy-Ramanujan Journal. 44 8923. arXiv:2112.11882. doi:10.46298/hrj.2022.8923. S2CID 245851672.

springer.com (Global: 182^nd place; English: 172^nd place)

link.springer.com

Tata Lectures on Theta I. Modern Birkhäuser Classics. Boston, MA: Birkhäuser Boston. 2007. p. 4. doi:10.1007/978-0-8176-4577-9. ISBN 978-0-8176-4572-4.

stackexchange.com (Global: 4,114^th place; English: 3,027^th place)

math.stackexchange.com

"integration - Curious integrals for Jacobi Theta Functions $\int_0^1 \vartheta_n(0,q)dq$". 2022-08-13.

codegolf.stackexchange.com

"code golf - Strict partitions of a positive integer". Retrieved 2022-03-09.

uni-bonn.de (Global: 6,227^th place; English: 7,977^th place)

www-elsa.physik.uni-bonn.de

Andreas Dieckmann: Table of Infinite Products Infinite Sums Infinite Series, Elliptic Theta. Physikalisches Institut Universität Bonn, Abruf am 1. Oktober 2021.

wolfram.com (Global: 1,091^st place; English: 1,169^th place)

mathworld.wolfram.com

Weisstein, Eric W. "Elliptic Alpha Function". MathWorld.
Eric W. Weisstein (2022-03-11). "Partition Function P".
Eric W. Weisstein (2022-03-11). "Partition Function Q".

worldcat.org (Global: 4^th place; English: 4^th place)

search.worldcat.org

Ohyama, Yousuke (1995). "Differential relations of theta functions". Osaka Journal of Mathematics. 32 (2): 431–450. ISSN 0030-6126.

Theta function (English Wikipedia)

arxiv.org (Global: 49th place; English: 31st place)

doi.org (Global: 2nd place; English: 2nd place)

hdl.handle.net (Global: 66th place; English: 34th place)

mpmath.org (Global: low place; English: low place)

msu.edu (Global: 1,979th place; English: 1,265th place)

archive.lib.msu.edu

nist.gov (Global: 708th place; English: 742nd place)