Some identities associated with mock theta functions ω(q) and ν(q)

George E. Andrews; Ae Ja Yee

doi:10.1007/s11139-018-0028-5

Some identities associated with mock theta functions ω(q) and ν(q)

George E. Andrews
, Ae Ja Yee

Mathematics

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

9 Scopus citations

Abstract

Recently, Andrews, Dixit, and Yee defined two partition functions p _ω (n) and p _ν (n) that are related with Ramanujan’s mock theta functions ω(q) and ν(q) , respectively. In this paper, we present two variable generalizations of their results. As an application, we reprove their results on p _ω (n) and p _ν (n) that are analogous to Euler’s pentagonal number theorem.

Original language	English (US)
Pages (from-to)	613-622
Number of pages	10
Journal	Ramanujan Journal
Volume	48
Issue number	3
DOIs	https://doi.org/10.1007/s11139-018-0028-5
State	Published - Apr 15 2019

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.1007/s11139-018-0028-5

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title = "Some identities associated with mock theta functions ω(q) and ν(q)",

abstract = " Recently, Andrews, Dixit, and Yee defined two partition functions p ω (n) and p ν (n) that are related with Ramanujan{\textquoteright}s mock theta functions ω(q) and ν(q) , respectively. In this paper, we present two variable generalizations of their results. As an application, we reprove their results on p ω (n) and p ν (n) that are analogous to Euler{\textquoteright}s pentagonal number theorem. ",

author = "Andrews, \{George E.\} and Yee, \{Ae Ja\}",

note = "Funding Information: The second author was partially supported by a Grant (\#280903) from the Simons Foundation. Publisher Copyright: {\textcopyright} 2018, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.",

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AU - Andrews, George E.

AU - Yee, Ae Ja

N1 - Funding Information: The second author was partially supported by a Grant (#280903) from the Simons Foundation. Publisher Copyright: © 2018, Springer Science+Business Media, LLC, part of Springer Nature. Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2019/4/15

Y1 - 2019/4/15

N2 - Recently, Andrews, Dixit, and Yee defined two partition functions p ω (n) and p ν (n) that are related with Ramanujan’s mock theta functions ω(q) and ν(q) , respectively. In this paper, we present two variable generalizations of their results. As an application, we reprove their results on p ω (n) and p ν (n) that are analogous to Euler’s pentagonal number theorem.

AB - Recently, Andrews, Dixit, and Yee defined two partition functions p ω (n) and p ν (n) that are related with Ramanujan’s mock theta functions ω(q) and ν(q) , respectively. In this paper, we present two variable generalizations of their results. As an application, we reprove their results on p ω (n) and p ν (n) that are analogous to Euler’s pentagonal number theorem.

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ER -

Some identities associated with mock theta functions ω(q) and ν(q)

Abstract

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