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JOURNALS // Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva // Archive

Trudy SVMO, 2009, Volume 11, Number 1, Pages 112–120 (Mi svmo172)

In Middle Volga Mathematical Society

Fast summation of triple series with special case of generic term.

A. O. Syromyasov

Mordovian State University

Abstract: The paper considers triple series where generic term is result of differentiating of Epstein zeta function. Method of fast summation of such series is proposed. The method is based on functional transformation of series' summands; Poisson summation formula is used. Estimation of method's inaccuracy is obtained and computational algorithm is outlined.

Keywords: triple series, lattice sum, fast summation, Epstein zeta function, incomplete gamma function, Poisson summation formula.

UDC: 517.521.8:517.581



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