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Article Dans Une Revue International Journal of Number Theory Année : 2021

Structural properties of multiple zeta values

Résumé

We study some classical identities for multiple zeta values and show that they still hold for zeta functions built from an arbitrary sequence of nonzero complex numbers. We introduce the complementary zeta function of a system, which naturally occurs when lifting identities for multiple zeta values to identities for quasisymmetric functions.

Dates et versions

hal-03341732 , version 1 (12-09-2021)

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Citer

Tanay Wakhare, Christophe Vignat. Structural properties of multiple zeta values. International Journal of Number Theory, 2021, 17 (08), pp.1873-1897. ⟨10.1142/S1793042121500676⟩. ⟨hal-03341732⟩
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