On One method for constructing a family of approximations of zeta constants by rational fractions

On One method for constructing a family of approximations of zeta constants by rational fractions We present a new method for fast approximation of zeta constants, i.e., values ζ(n) of the Riemann zeta function, n ≥ 2, n is an integer, by rational fractions. The method makes it possible to fast approximate zeta constants and certain combinations of successive values of zeta constants by rational fractions. By choosing values of coefficients involved in the combinations, one can control the convergence rate of the approximations and the computation complexity for the zeta constants. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Problems of Information Transmission Springer Journals

On One method for constructing a family of approximations of zeta constants by rational fractions

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Publisher
Pleiades Publishing
Copyright
Copyright © 2015 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/S0032946015040079
Publisher site
See Article on Publisher Site

Abstract

We present a new method for fast approximation of zeta constants, i.e., values ζ(n) of the Riemann zeta function, n ≥ 2, n is an integer, by rational fractions. The method makes it possible to fast approximate zeta constants and certain combinations of successive values of zeta constants by rational fractions. By choosing values of coefficients involved in the combinations, one can control the convergence rate of the approximations and the computation complexity for the zeta constants.

Journal

Problems of Information TransmissionSpringer Journals

Published: Jan 5, 2016

References

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