A sum connected with the series for the partition function

1956/03/01 by Albert Leon Whiteman · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #Combinatorics #Function (biology) #Mathematics #Partition (number theory) #Series (stratigraphy)

paper · pdf · doi:10.2140/pjm.1956.6.159

openalex publication_date 1956/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/04/04

Abstract

1. Introduction * The famous formula of Rademacher [5] for the number p(n) of partitions of an integer n states that y 2 an λ J where ϋΓ=7r(2/3)1/2, λ=(n —1/24)1/2 and the series is absolutely convergent. The coefficients Ak(n) are defined by

Cited by

• Efficient implementation of the Hardy-Ramanujan-Rademacher formula
• Integer partition [wikipedia]