Rapidly Convergent Series of the Divisors Functions

2014/07/28 by N. A. Carella, Carella, N. A.
Mathematics · #11M06 #11Y60 #Advanced Mathematical Identities #Advanced Mathematical Theories #Analytic Number Theory Research #FOS: Mathematics #General Mathematics (math.GM)

paper · pdf · doi:10.48550/arxiv.1407.7439

openalex publication_date 2014/07/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This note gives a few rapidly convergent series representations of the sums of divisors functions. These series have various applications such as exact evaluations of some power series, computing estimates and proving the existence results of some special values of the sums of divisors functions.

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