Identities for overpartitions with even smallest parts-Reference-Cited by-同舟云学术

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Identities for overpartitions with even smallest parts

Published:2018-07-23 Issue:07 Volume:14 Page:2023-2033
ISSN:1793-0421
Container-title:International Journal of Number Theory
language:en
Short-container-title:Int. J. Number Theory

Author:

Jang Min-Joo¹,Lovejoy Jeremy²

Affiliation:

1. Mathematical Institute, University of Cologne, Weyertal 86-90, 50931 Cologne, Germany

2. Department of Mathematics, University of California, Berkeley, 970 Evans Hall #3840, Berkeley, CA 94720-3840, USA

Abstract

We prove several combinatorial identities involving overpartitions whose smallest parts are even. These follow from an infinite product generating function for certain four-colored overpartitions.

Publisher

World Scientific Pub Co Pte Lt

Subject

Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S179304211850121X

Reference10 articles.

1. Partition Identities--From Euler to the Present

2. Refinements of Rogers-Ramanujan type identities

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

4. Generalizations of Schur's partition theorem

5. Schur's Partition Theorem, Companions, Refinements and Generalizations

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