Partitions: At the Interface of q-Series and Modular Forms

George E. Andrews

doi:10.1023/A:1026224002193

Partitions: At the Interface of q-Series and Modular Forms

George E. Andrews

Mathematics

Research output: Contribution to journal › Article › peer-review

29 Scopus citations

Abstract

In this paper we explore five topics from the theory of partitions: (1) the Rademacher conjecture, (2) the Herschel-Cayley Sylvester formulas, (3) the asymptotic expansions of E.M. Wright, (4) the asymptotics of mock theta function coefficients, (5) modular transformations of q-series.

Original language	English (US)
Pages (from-to)	385-400
Number of pages	16
Journal	Ramanujan Journal
Volume	7
Issue number	1-3
DOIs	https://doi.org/10.1023/A:1026224002193
State	Published - Mar 2003

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1023/A:1026224002193

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title = "Partitions: At the Interface of q-Series and Modular Forms",

abstract = "In this paper we explore five topics from the theory of partitions: (1) the Rademacher conjecture, (2) the Herschel-Cayley Sylvester formulas, (3) the asymptotic expansions of E.M. Wright, (4) the asymptotics of mock theta function coefficients, (5) modular transformations of q-series.",

author = "Andrews, {George E.}",

note = "Funding Information: ∗Partially supported by National Science Foundation Grant DMS-9206993.",

year = "2003",

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doi = "10.1023/A:1026224002193",

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N2 - In this paper we explore five topics from the theory of partitions: (1) the Rademacher conjecture, (2) the Herschel-Cayley Sylvester formulas, (3) the asymptotic expansions of E.M. Wright, (4) the asymptotics of mock theta function coefficients, (5) modular transformations of q-series.

AB - In this paper we explore five topics from the theory of partitions: (1) the Rademacher conjecture, (2) the Herschel-Cayley Sylvester formulas, (3) the asymptotic expansions of E.M. Wright, (4) the asymptotics of mock theta function coefficients, (5) modular transformations of q-series.

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EP - 400

JO - Ramanujan Journal

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Partitions: At the Interface of q-Series and Modular Forms

Abstract

All Science Journal Classification (ASJC) codes

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