Partition identities with mixed mock modular forms

George E. Andrews; Stephen Hill

doi:10.1016/j.jnt.2015.06.022

Partition identities with mixed mock modular forms

George E. Andrews, Stephen Hill

Mathematics

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

1 Scopus citations

Abstract

There are countless partition identities of the type introduced by Basil Gordon. All the previously known ones were related to infinite products usually modular forms. In this paper we identify a further class of partition functions of the Basil Gordon genre that are in fact eta-products times Hecke-type series.

Original language	English (US)
Pages (from-to)	356-364
Number of pages	9
Journal	Journal of Number Theory
Volume	158
DOIs	https://doi.org/10.1016/j.jnt.2015.06.022
State	Published - Jan 1 2016

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Access to Document

10.1016/j.jnt.2015.06.022

Cite this

@article{c69099b1f1de499c87b22099d1adb514,

title = "Partition identities with mixed mock modular forms",

abstract = "There are countless partition identities of the type introduced by Basil Gordon. All the previously known ones were related to infinite products usually modular forms. In this paper we identify a further class of partition functions of the Basil Gordon genre that are in fact eta-products times Hecke-type series.",

author = "Andrews, {George E.} and Stephen Hill",

note = "Publisher Copyright: {\textcopyright} 2015 Elsevier Inc.",

year = "2016",

month = jan,

day = "1",

doi = "10.1016/j.jnt.2015.06.022",

language = "English (US)",

volume = "158",

pages = "356--364",

journal = "Journal of Number Theory",

issn = "0022-314X",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - Partition identities with mixed mock modular forms

AU - Andrews, George E.

AU - Hill, Stephen

PY - 2016/1/1

Y1 - 2016/1/1

N2 - There are countless partition identities of the type introduced by Basil Gordon. All the previously known ones were related to infinite products usually modular forms. In this paper we identify a further class of partition functions of the Basil Gordon genre that are in fact eta-products times Hecke-type series.

AB - There are countless partition identities of the type introduced by Basil Gordon. All the previously known ones were related to infinite products usually modular forms. In this paper we identify a further class of partition functions of the Basil Gordon genre that are in fact eta-products times Hecke-type series.

UR - http://www.scopus.com/inward/record.url?scp=84940399389&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84940399389&partnerID=8YFLogxK

U2 - 10.1016/j.jnt.2015.06.022

DO - 10.1016/j.jnt.2015.06.022

M3 - Article

AN - SCOPUS:84940399389

SN - 0022-314X

VL - 158

SP - 356

EP - 364

JO - Journal of Number Theory

JF - Journal of Number Theory

ER -

Partition identities with mixed mock modular forms

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this