Erratum to: “On one method for constructing a family of approximations of zeta constants by rational fractions”

Erratum to: “On one method for constructing a family of approximations of zeta constants by... ISSN 0032-9460, Problems of Information Transmission, 2016, Vol. 52, No. 1, pp. 100–101.  c Pleiades Publishing, Inc., 2016. ERRATA Erratum to: “On One Method for Constructing a Family of Approximations of Zeta Constants by Rational Fractions” [Problems of Information Transmission 51, 378 (2015)] E. A. Karatsuba Dorodnitsyn Computing Center of the Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russia e-mail: karacuba@mi.ras.ru, ekar@ccas.ru Received January 6, 2016 DOI: 10.1134/S0032946016010087 1. The formula for I on pp. 383–384 must read as follows: n s−2 j−1 (−1) (a b + b a ) 0 r 0 r I = a b ζ(s)+ ζ(s − j) s 0 0 r=1 j=1 n ∞ s−2 (−1) (a b + b a ) 1 1 0 r 0 r + − s−1 r k +1 r + k +1 r=1 k=0 n s−3 ∞ n j−1 s−2 (−1) ja b (−1) a b r r r r + ζ(s − 1 − j)+ j+1 s−2 2 r r (r + k +1) r=1 j=1 k=0 r=1 n ∞ s−3 (−1) (s − 2)a b 1 1 r r + − s−1 r k +1 r + k http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

Erratum to: “On one method for constructing a family of approximations of zeta constants by rational fractions”

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Publisher
Springer Journals
Copyright
Copyright © 2016 by Pleiades Publishing, Inc.
Subject
Engineering; Communications Engineering, Networks; Electrical Engineering; Information Storage and Retrieval; Systems Theory, Control
ISSN
0032-9460
eISSN
1608-3253
D.O.I.
10.1134/S0032946016010087
Publisher site
See Article on Publisher Site

Abstract

ISSN 0032-9460, Problems of Information Transmission, 2016, Vol. 52, No. 1, pp. 100–101.  c Pleiades Publishing, Inc., 2016. ERRATA Erratum to: “On One Method for Constructing a Family of Approximations of Zeta Constants by Rational Fractions” [Problems of Information Transmission 51, 378 (2015)] E. A. Karatsuba Dorodnitsyn Computing Center of the Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, Moscow, Russia e-mail: karacuba@mi.ras.ru, ekar@ccas.ru Received January 6, 2016 DOI: 10.1134/S0032946016010087 1. The formula for I on pp. 383–384 must read as follows: n s−2 j−1 (−1) (a b + b a ) 0 r 0 r I = a b ζ(s)+ ζ(s − j) s 0 0 r=1 j=1 n ∞ s−2 (−1) (a b + b a ) 1 1 0 r 0 r + − s−1 r k +1 r + k +1 r=1 k=0 n s−3 ∞ n j−1 s−2 (−1) ja b (−1) a b r r r r + ζ(s − 1 − j)+ j+1 s−2 2 r r (r + k +1) r=1 j=1 k=0 r=1 n ∞ s−3 (−1) (s − 2)a b 1 1 r r + − s−1 r k +1 r + k

Journal

Problems of Information TransmissionSpringer Journals

Published: May 8, 2016

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