An elementary and real approach to values of the Riemann zeta function

2008/12/10 by Armen Bagdasaryan, Bagdasaryan, Armen
Mathematics · #11B68 #11M06 #40C15 #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.0812.1878

openalex publication_date 2008/12/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

An elementary approach for computing the values at negative integers of the Riemann zeta function is presented. The approach is based on a new method for ordering the integers and a new method for summation of divergent series. We show that the values of the Riemann zeta function can be computed, without using the theory of analytic continuation and functions of complex variable.

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