FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2001, VOLUME 7, NUMBER 2, PAGES 615-619

Logarithmic analog of Leibnitz series and some integrals connected with the Riemann zeta function

Yu. I. Babenko
A. I. Moshinskii

Abstract

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A new expression for the analog of the Leibnitz series with alternating signs, which contains the multipliers depending on the logarithm of the term's number, is obtained. The values of some definite integrals connected with the above series are found.

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Last modified: October 31, 2001.