Linear and Algebraic Independence of q-Zeta Values |
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Authors: | Yu A Pupyrev |
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Institution: | (1) M. V. Lomonosov Moscow State University, Moscow, Russia |
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Abstract: | In the paper, results on linear and algebraic independence of q-series of the form $\varsigma _q (s) = \sum\nolimits_{n = 1}^\infty {\sigma _{s - 1} (n)q^n }$ over the field ?(q) are obtained, where $\sigma _{s - 1} (n) = \sum\nolimits_{d|n} {d^{s - 1} }$ , s = 1, 2,... . |
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Keywords: | Eisenstein series q-zeta value linear independence algebraic independence |
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