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.

All articles are
published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/k01/k012/k01217h.htm.

Last modified: October 31, 2001.