On an asymptotic formula of Ramanujan for a certain theta-type series

Masanori Katsurada

Displaying similar documents to “On an asymptotic formula of Ramanujan for a certain theta-type series”

Asymptotic expansions of certain q-series and a formula of Ramanujan for specific values of the Riemann zeta function

Masanori Katsurada (2003)

Acta Arithmetica

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A functional relation for Tornheim's double zeta functions

Kazuhiro Onodera (2014)

Acta Arithmetica

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We generalize the partial fraction decomposition which is fundamental in the theory of multiple zeta values, and prove a relation between Tornheim's double zeta functions of three complex variables. As applications, we give new integral representations of several zeta functions, an extension of the parity result to the whole domain of convergence, concrete expressions of Tornheim's double zeta function at non-positive integers and some results on the behavior of a certain Witten's zeta...

Explicit Formulas and Asymptotic Expansions for Certain Mean Square of Hurwitz Zeta-Functions.

M. Katsurada, K. Matsumoto (1996)

Mathematica Scandinavica

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Borwein and Bradley's Apéry-like formulae for $ζ (4 n + 3)$ .

Almkvist, Gert, Granville, Andrew (1999)

Experimental Mathematics

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Algebraic setup of non-strict multiple zeta values

Shuichi Muneta (2009)

Acta Arithmetica

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Universality results on Hurwitz zeta-functions

Antanas Laurinčikas, Renata Macaitienė (2016)

Banach Center Publications

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In the paper, we give a survey of the results on the approximation of analytic functions by shifts of Hurwitz zeta-functions. Theorems of such a kind are called universality theorems. Continuous, discrete and joint universality theorems of Hurwitz zeta-functions are discussed.