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

Access to Document

10.1007/s11139-018-0028-5

Cite this

@article{c56a56446fdf4d42a9cd3d36a8f65632,

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.",

year = "2019",

month = apr,

day = "15",

doi = "10.1007/s11139-018-0028-5",

language = "English (US)",

volume = "48",

pages = "613--622",

journal = "Ramanujan Journal",

issn = "1382-4090",

publisher = "Springer Netherlands",

number = "3",

}

TY - JOUR

T1 - Some identities associated with mock theta functions ω(q) and ν(q)

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.

UR - http://www.scopus.com/inward/record.url?scp=85050976999&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85050976999&partnerID=8YFLogxK

U2 - 10.1007/s11139-018-0028-5

DO - 10.1007/s11139-018-0028-5

M3 - Article

AN - SCOPUS:85050976999

SN - 1382-4090

VL - 48

SP - 613

EP - 622

JO - Ramanujan Journal

JF - Ramanujan Journal

IS - 3

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this