Bressoud style identities for regular partitions and overpartitions

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• 作者：Kağan Kurşungö ; z ^{kursungoz@sabanciuniv.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：primary ; 11P84 ; 05A17 ; 05A15 ; secondary ; 05A19
• 刊名：Journal of Number Theory
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：168
• 期：Complete
• 页码：45-63
• 全文大小：340 K

文摘

We construct a family of partition identities which contain the following identities: Rogers–Ramanujan–Gordon identities, Bressoud's even moduli generalization of them, and their counterparts for overpartitions due to Lovejoy et al. and Chen et al. We obtain unusual companion identities to known theorems as well as to the new ones in the process. The proof is, against tradition, constructive and open to automation.