Diophantine problems for q-zeta values

Mathematics – Number Theory

Scientific paper

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6 pages, AmSTeX; to appear in Mat. Zametki [Math. Notes] 72 (2002)

Scientific paper

10.1023/A:1021450231834

A motivated q-extension of the values of the Riemann zeta function at
positive integers is presented. Several irrationality and transcendence results
as well as new general problems for these q-zeta values are stated.

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