Partition identities with mixed mock modular forms

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• 作者：George E. Andrews ; ¹ ; ^{gea1@psu.edu" class="auth_mail" title="E-mail the corresponding author} ; Stephen Hill¹ ; ^{sjh5403@psu.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：05A17 ; 05A19 ; 11P83 ; 11F11
• 刊名：Journal of Number Theory
• 出版年：2016
• 出版时间：January 2016
• 年：2016
• 卷：158
• 期：Complete
• 页码：356-364
• 全文大小：255 K

文摘

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.