JP Journal of Algebra, Number Theory and Applications
Volume 4, Issue 2, Pages 407 - 412
(August 2004)
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A
SIMPLE PROOF OF q-ZETA FUNCTION
L. C. Jang (Korea), D. W. Park (Korea), T. Kim (Korea) and C. S. Ryoo (Korea)
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Abstract: In [Discrete Math. 252
(2002), 179-187], Kim introduced the q-analogue
of the Hurwitz zeta function:
where a is real number with
and
with Up to
now, we cannot derive
using Cauchy integral in the complex number
field. In this paper, by using Cauchy integral
in the field of complex numbers, we represent
the q-analogue of the Hurwitz zeta
function. |
Keywords and phrases: densities, 4-class ranks. |
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