The Catalan's Constant and Series Involving the Zeta Function
Commun. Korean Math. Soc. 1998 Vol. 13, No. 2, 435-443
Junesang Choi
Dongguk University
Abstract : Some mathematical constants have been used in evaluating series involving the Zeta function, the origin of which can be traced back to an over two centuries old theorem of Christian Goldbach. We show some of the series involving the Zeta function can be evaluated in terms of the Catalan's constant by using the theory of the double Gamma function.
Keywords : the Catalan's constant, series involving the Zeta function
MSC numbers : Primary 33B99, Secondary 11M99
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