Multiple zeta-functions associated with linear recurrence sequences and the vectorial sum formula.

Abstract : We prove the holomorphic continuation of certain multi-variable multiple zeta-functions whose coefficients satisfy a suitable recurrence condition. Actually we introduce more general vectorial zeta-functions, and prove their holomorphic continuation. Moreover we show a vectorial sum formula among those vectorial zeta-functions, from which some generalizations of the classical sum formula can be deduced.
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Contributor : Driss Essouabri <>
Submitted on : Sunday, February 16, 2014 - 7:10:44 PM
Last modification on : Friday, March 8, 2019 - 9:38:03 AM

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  • HAL Id : hal-00947516, version 1

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Driss Essouabri, Kohji Matsumoto, Hirofumi Tsumura. Multiple zeta-functions associated with linear recurrence sequences and the vectorial sum formula.. Canadian Journal of Mathematics, University of Toronto Press, 2011, 63 (2), p. 241-276. ⟨hal-00947516⟩

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