Dyson’s ranks and Maass forms

2010/03/17 by Kathrin Bringmann, Ken Ono · 23 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Artificial intelligence #Computer science #Library science #Mathematics #Pure mathematics #Ramanujan theta function #Ramanujan's sum #Subject (documents) #Watson

paper · pdf · doi:10.4007/annals.2010.171.419

openalex publication_date 2010/03/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

Motivated by work of Ramanujan, Freeman Dyson defined the rank of an integer partition to be its largest part minus its number of parts. If N.m; n/ denotes the number of partitions of n with rank m, then it turns out that

Citations

• On Modular Forms of Half Integral Weight

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