q-Analogues of the Barnes multiple zeta functions

Details q-Analogues of the Barnes multiple zeta functions q-Analogues of the Barnes multiple zeta functions

2004-12-03

arxiv.org/abs/math/0412067v3

Tokyo J. Math., 29 (2006) No. 2, 413-427.

Mathematics

Number Theory

13 pages

Scientific paper

In this paper, we introduce $q$-analogues of the Barnes multiple zeta
functions. We show that these functions can be extended meromorphically to the
whole plane, and moreover, tend to the Barnes multiple zeta functions when
$q\uparrow 1$ for all complex numbers.

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