Combinatorial proofs of two truncated theta series theorems

JOURNAL OF COMBINATORIAL THEORY SERIES A

卷:160

Article

Ballantine, Cristina¹  Merca, Mircea²  Passary, Donny³  Yee, Ae Ja³ 

[1] Coll Holy Cross, Dept Math & Comp Sci, Worcester, MA 01610 USA

[2] Acad Romanian Scientists, Splaiul Independentei 54, Bucharest 050094, Romania

[3] Penn State Univ, Dept Math, University Pk, PA 16802 USA

关键词: Partitions;    Overpartitions;    Partitions with distinct odd parts;    Theta series;   

DOI  :  10.1016/j.jcta.2018.06.011

来源: Elsevier

【 摘 要 】

Recently, G.E. Andrews and M. Merca considered specializations of the Rogers-Fine identity and obtained partitiontheoretic interpretations of two truncated identities of Gauss solving a problem by V.J.W. Guo and J. Zeng. In this paper, we provide purely combinatorial proofs of these results. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free