Positive alternating sums of integer partitions

Mohamed El Bachraoui

doi:10.1007/s11139-020-00264-z

Positive alternating sums of integer partitions

Mohamed El Bachraoui

Department of Mathematical Sciences

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

3 Citations (Scopus)

Abstract

We combine an extended version of Bailey’s transform with an identity of Bressoud and with some identities of Berkovich and Warnaar to prove a variety of positivity results for alternating sums involving partition functions.

Original language	English
Pages (from-to)	697-711
Number of pages	15
Journal	Ramanujan Journal
Volume	55
Issue number	2
DOIs	https://doi.org/10.1007/s11139-020-00264-z
Publication status	Published - Jun 2021

Keywords

Bailey transform
Overpartitions
Partitions
Positivity

ASJC Scopus subject areas

Algebra and Number Theory

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10.1007/s11139-020-00264-z

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title = "Positive alternating sums of integer partitions",

abstract = "We combine an extended version of Bailey{\textquoteright}s transform with an identity of Bressoud and with some identities of Berkovich and Warnaar to prove a variety of positivity results for alternating sums involving partition functions.",

keywords = "Bailey transform, Overpartitions, Partitions, Positivity",

author = "{El Bachraoui}, Mohamed",

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year = "2021",

month = jun,

doi = "10.1007/s11139-020-00264-z",

language = "English",

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AU - El Bachraoui, Mohamed

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N2 - We combine an extended version of Bailey’s transform with an identity of Bressoud and with some identities of Berkovich and Warnaar to prove a variety of positivity results for alternating sums involving partition functions.

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KW - Partitions

KW - Positivity

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JF - Ramanujan Journal

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ER -

Positive alternating sums of integer partitions

Abstract

Keywords

ASJC Scopus subject areas

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