q-Euler Numbers and Polynomials Associated with Basic Zeta Functions

Details q-Euler Numbers and Polynomials Associated with Basic Zeta Functions q-Euler Numbers and Polynomials Associated with Basic Zeta Functions

2008-07-17

arxiv.org/abs/0807.2682v1

Mathematics

Number Theory

9 pages

Scientific paper

In this paper we give the q-extension of Euler numbers which can be viewed as
interpolating of the q-analogue of Euler zeta function ay negative integers, in
the same way that Riemann zeta function interpolates Bernoulli numbers at
negative integers. Finally we woll treat some identities of the q-extension of
the euler numbers by using fermionic p-adic q-integration on Z_p.

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