On certain mean values of the double zeta-function
Soichi Ikeda, Kaneaki Matsuoka, Yoshikazu Nagata
TL;DR
This paper investigates three types of mean values of the Euler double zeta function by deriving approximate formulas to analyze their properties.
Contribution
It introduces three new approximate formulas for the Euler double zeta function to study its mean values.
Findings
Derived three approximate formulas for the double zeta function
Analyzed the properties of the mean values using these formulas
Provided insights into the behavior of the Euler double zeta function
Abstract
In this paper we discuss three types of the mean values of the Euler double zeta function. In order to get results we introduce three approximate formulas for this function.
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Taxonomy
TopicsAdvanced Mathematical Identities · Mathematical Inequalities and Applications · Analytic Number Theory Research