A THEOREM ON SEVEN-COLORED OVERPARTITIONS AND ITS APPLICATIONS-Reference-Cited by-同舟云学术

A THEOREM ON SEVEN-COLORED OVERPARTITIONS AND ITS APPLICATIONS

Published:2005-06 Issue:02 Volume:01 Page:215-224
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

LOVEJOY JEREMY¹

Affiliation:

1. CNRS, LIAFA, Université Denis Diderot, 2, Place Jussieu, Case 7014, F-75251 Paris Cedex 05, France

Abstract

A q-series identity in four parameters is established and interpreted as a statement about 7-colored overpartitions. As corollaries some overpartition theorems of the Rogers–Ramanujan type and some weighted overpartition theorems are exhibited. Among these are overpartition analogues of classical partition theorems of Schur and Göllnitz.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S1793042105000157

Reference17 articles.

1. Partition identities involving gaps and weights

2. A new four parameter q-series identity and its partition implications

3. Refinements and Generalizations of Capparelli′s Conjecture on Partitions

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