Generalization of some of Ramanujan's formulae

2024/08/17 by Aung Phone Maw, Maw, Aung Phone
Mathematics · #11M06 #40G99 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #General Mathematics (math.GM) #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.2408.09077

openalex publication_date 2024/08/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We shall make use of the method of partial fractions to generalize some of Ramanujan's infinite series identities, including Ramanujan's famous formula for ζ(2n+1), and we shall also give a generalization of the transformation formula for the Dedekind eta function. It is shown here that the method of partial fractions can be used to obtain many similar identities of this kind.

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