ON q-ANALGUE OF THE TWISTED L-FUNCTIONS AND q-TWISTED BERNOULLI NUMBERS

Title & Authors
ON q-ANALGUE OF THE TWISTED L-FUNCTIONS AND q-TWISTED BERNOULLI NUMBERS
Simsek, Yilmaz;

Abstract
The aim of this work is to construct twisted q-L-series which interpolate twisted q-generalized Bernoulli numbers. By using generating function of q-Bernoulli numbers, twisted q-Bernoulli numbers and polynomials are defined. Some properties of this polynomials and numbers are described. The numbers $\small{L_{q}(1-n,\;X,\;{\xi})}$ is also given explicitly.
Keywords
Dirichlet L-functions;twisted L-functions;Hurwitz zeta function;generalized Bernoulli numbers and polynomials;q-analogues of the Dirichlet series and q-L-series;q-Bernoulli numbers;
Language
English
Cited by
1.
THE BEHAVIOR OF THE TWISTED p-ADIC (h, q)-L-FUNCTIONS AT s = 0,Simsek, Yilmaz;

대한수학회지, 2007. vol.44. 4, pp.915-929
1.
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On p-adic twisted q-L-functions related to generalized twisted Bernoulli numbers, Russian Journal of Mathematical Physics, 2006, 13, 3, 340
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9.
Twisted p-adic (h,q)-L-functions, Computers & Mathematics with Applications, 2010, 59, 6, 2097
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