Combinatorial proofs of two truncated theta series theorems

Cristina Ballantine; Mircea Merca; Donny Passary; Ae Ja Yee

doi:10.1016/j.jcta.2018.06.011

Combinatorial proofs of two truncated theta series theorems

Cristina Ballantine
, Mircea Merca
, Donny Passary
, Ae Ja Yee

Mathematics

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

29 Scopus citations

Abstract

Recently, G.E. Andrews and M. Merca considered specializations of the Rogers–Fine identity and obtained partition-theoretic 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.

Original language	English (US)
Pages (from-to)	168-185
Number of pages	18
Journal	Journal of Combinatorial Theory. Series A
Volume	160
DOIs	https://doi.org/10.1016/j.jcta.2018.06.011
State	Published - Nov 2018

All Science Journal Classification (ASJC) codes

Theoretical Computer Science
Discrete Mathematics and Combinatorics
Computational Theory and Mathematics

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10.1016/j.jcta.2018.06.011

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title = "Combinatorial proofs of two truncated theta series theorems",

abstract = "Recently, G.E. Andrews and M. Merca considered specializations of the Rogers–Fine identity and obtained partition-theoretic 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.",

author = "Cristina Ballantine and Mircea Merca and Donny Passary and Yee, \{Ae Ja\}",

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doi = "10.1016/j.jcta.2018.06.011",

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AU - Ballantine, Cristina

AU - Merca, Mircea

AU - Passary, Donny

AU - Yee, Ae Ja

PY - 2018/11

Y1 - 2018/11

N2 - Recently, G.E. Andrews and M. Merca considered specializations of the Rogers–Fine identity and obtained partition-theoretic 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.

AB - Recently, G.E. Andrews and M. Merca considered specializations of the Rogers–Fine identity and obtained partition-theoretic 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.

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UR - https://www.scopus.com/pages/publications/85049027789#tab=citedBy

U2 - 10.1016/j.jcta.2018.06.011

DO - 10.1016/j.jcta.2018.06.011

M3 - Article

AN - SCOPUS:85049027789

SN - 0097-3165

VL - 160

SP - 168

EP - 185

JO - Journal of Combinatorial Theory. Series A

JF - Journal of Combinatorial Theory. Series A

ER -

Combinatorial proofs of two truncated theta series theorems

Abstract

All Science Journal Classification (ASJC) codes

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