LEONHARD EULER (1707-1783) AND THE COMPUTATIONAL ASPECTS OF SOME ZETA-FUNCTION SERIES

Title & Authors
LEONHARD EULER (1707-1783) AND THE COMPUTATIONAL ASPECTS OF SOME ZETA-FUNCTION SERIES
Srivastava, Hari Mohan;

Abstract
In this presentation dedicated to the tricentennial birth anniversary of the great eighteenth-century Swiss mathematician, Leonhard Euler (1707-1783), we begin by remarking about the so-called Basler problem of evaluating the Zeta function $\small{{\zeta}(s)}$ [in the much later notation of Georg Friedrich Bernhard Riemann (1826-1866)] when s
Keywords
analytic number theory;Riemann zeta function;Hurwitz(orgeneralized) zeta function;series representations;harmonic numbers;Bernoulli numbers and polynomials;generating functions;Euler numbers and polynomials;inductive argument;symbolic and numerical computations;
Language
English
Cited by
1.
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