How Ramanujan may have discovered the mock theta functions

George E. Andrews

Type: Article

Publication Date: 2019-12-09

Citations: 1

DOI: https://doi.org/10.1098/rsta.2018.0436

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'.

Locations

PubMed - View
Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences - View - PDF

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+	100 Years of mock theta functions	2024	George E. Andrews

Works Cited by This (13)

Action	Title	Year	Authors
+	The f(q) mock theta function conjecture and partition ranks	2006	Kathrin Bringmann Ken Ono
+	The Mock Theta Functions (2)	1937	G. N. Watson
+ PDF Chat	Unearthing the Visions of a Master: Harmonic Maass Forms and Number Theory	2008	Ken Ono
+	The Final Problem : An Account of the Mock Theta Functions	1936	G. N. Watson
+ PDF Chat	Ramanujan’s mock theta functions	2013	Michael Griffin Ken Ono Larry Rolen
+ PDF Chat	Asymptotic Formulaae in Combinatory Analysis	1918	G. H. Hardy S. Ramanujan
+ PDF Chat	MOCK THETA FUNCTIONS AND QUANTUM MODULAR FORMS	2013	Amanda Folsom Ken Ono Robert C. Rhoades
+	The Theory of Partitions	1984	George E. Andrews
+	Ramanujan's Lost Notebook: Part II	2009	George E. Andrews Bruce C. Berndt
+	Harmonic Maass Forms and Mock Modular Forms: Theory and Applications	2017	Kathrin Bringmann Amanda Folsom Ken Ono Larry Rolen