Zeta Mahler measures |
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| Authors: | Hirotaka Akatsuka |
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| Affiliation: | Department of Mathematics, Tokyo Institute of Technology, 2-12-1 Ookayama, Meguro-ku, Tokyo 152-8551, Japan |
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| Abstract: | We introduce the zeta Mahler measure with a complex parameter, whose derivative is a generalization of the classical Mahler measure. We study a fundamental theory of the zeta Mahler measure, including holomorphic regions and transformation formulas. We also express some specific examples of zeta Mahler measures in terms of hypergeometric functions. |
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| Keywords: | 11M99 |
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