Some results on Theory of Infinite Series and Divisor Sums

2009/12/24 by Nikos Bagis, Bagis, Nikos
Mathematics · #11A05 #11T23 #65B10 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #General Mathematics (math.GM)

paper · pdf · doi:10.48550/arxiv.0912.4815

openalex publication_date 2009/12/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this article we present certain formulas involving arithmetical functions. In the first part we study properties of sums and product formulas for general type of arithmetic functions. In the second part we apply these formulas to the study of Jacobi elliptic theta functions theory.

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