A Refinement of the Crank-Mex Theorem

It is proved that the number of partitions of n with odd mex and k parts that aren't ones equals the number of partitions of n with nonnegative crank and k parts that aren't ones..

Publication Details

Journal
ArXiv.org
Published
2025-08-24
Primary Topic
Water Quality and Resources Studies
Type
article
Field-Weighted Citation Impact
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article

A Refinement of the Crank-Mex Theorem

ArXiv.org
Water Quality and Resources Studies
article

A Refinement of the Crank-Mex Theorem

article en

Abstract

It is proved that the number of partitions of n with odd mex and k parts that aren't ones equals the number of partitions of n with nonnegative crank and k parts that aren't ones..

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 54%
Water Quality and Resources Studies
Open Access PDFOpenAlex
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A Refinement of the Crank-Mex Theorem · ArXiv.org (2025) | TGRS Research Map | TGRS