Theta function (English Wikipedia)

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

refsWebsite

Global rank English rank

8doi.org

2^nd place

3wolfram.com

513^th place

537^th place

2arxiv.org

69^th place

59^th place

2stackexchange.com

1,983^rd place

1,330^th place

1nist.gov

355^th place

454^th place

1springer.com

274^th place

309^th place

1semanticscholar.org

11^th place

8^th place

1uni-bonn.de

6,912^th place

8,465^th place

1mpmath.org

low place

1handle.net

102^nd place

76^th place

1projecteuclid.org

3,707^th place

2,409^th place

1worldcat.org

5^th place

1msu.edu

1,844^th place

1,231^st place

1researchgate.net

120^th place

125^th place

1oeis.org

742^nd place

538^th place

arxiv.org (Global: 69^th place; English: 59^th 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.

handle.net (Global: 102^nd place; English: 76^th place)

hdl.handle.net

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: 1,844^th place; English: 1,231^st place)

archive.lib.msu.edu

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

nist.gov (Global: 355^th place; English: 454^th 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: 742^nd place; English: 538^th place)

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

projecteuclid.org (Global: 3,707^th place; English: 2,409^th place)

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

researchgate.net (Global: 120^th place; English: 125^th place)

Ramanujan's theta-function identities involving Lambert series

semanticscholar.org (Global: 11^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: 274^th place; English: 309^th 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: 1,983^rd place; English: 1,330^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: 6,912^th place; English: 8,465^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: 513^th place; English: 537^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: 5^th place; English: 5^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: 69th place; English: 59th place)

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

handle.net (Global: 102nd place; English: 76th place)

hdl.handle.net

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

msu.edu (Global: 1,844th place; English: 1,231st place)

archive.lib.msu.edu

nist.gov (Global: 355th place; English: 454th place)