How Ramanujan may have discovered the mock theta functions-Reference-Cited by-同舟云学术

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How Ramanujan may have discovered the mock theta functions

Published:2019-12-09 Issue:2163 Volume:378 Page:20180436
ISSN:1364-503X
Container-title:Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Phil. Trans. R. Soc. A.

Author:

Andrews George E.¹^ORCID

Affiliation:

1. The Pennsylvania State University, University Park, PA 16802, USA

Abstract

Mock theta functions appeared out of the blue in Ramanujan's last letter to Hardy. What would lead Ramanujan to consider the possibility of such functions in the first place? This paper seeks to provide a plausible answer to this question. This article is part of a discussion meeting issue ‘Srinivasa Ramanujan: in celebration of the centenary of his election as FRS’.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rsta.2018.0436

Reference17 articles.

1. Zwegers S. 2002 Moch theta functions. Doctoral Dissertation Universiteit Utrecht.

2. The f(q) mock theta function conjecture and partition ranks

3. MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS

4. Ramanujan’s radial limits

5. Bringmann K Folsom A Ono K Rolen L. 2017 Harmonic maass forms mock modular forms: theory and application. Colloq. Publication Vol. 64 Amer. Math. Soc. Providence RI. (doi:10.1090/coll/064)

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