Diophantine problems for q-zeta values

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

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Number Theory, Classical Analysis and ODEs, Primary 11J72, 11J82; Secondary 33D15

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http://salesiana.dossiersoluciones.com/handle/123456789/98193

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0206179
 http://arxiv.org/abs/math/0206179
 Mat. Zametki 72:6 (2002), 936--940 (Russian); English transl., Math. Notes 72:6 (2002), 858--862
 doi:10.1023/A:1021450231834

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arXiv