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.
Type de document :
Article dans une revue
Canadian Journal of Mathematics, University of Toronto Press, 2011, 63 (2), p. 241-276
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https://hal.archives-ouvertes.fr/hal-00947516
Contributeur : Driss Essouabri <>
Soumis le : dimanche 16 février 2014 - 19:10:44
Dernière modification le : mardi 17 juillet 2018 - 10:27:45

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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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