Yamamoto's interpolation of finite multiple zeta and zeta-star values

Autor:	Murahara, Hideki, Ono, Masataka
Rok vydání:	2019
Předmět:	Mathematics - Number Theory Primary 11M32 Secondary 05A19
Druh dokumentu:	Working Paper
Popis:	We study a polynomial interpolation of finite multiple zeta and zeta-star values with variable $t$, which is an analogue of interpolated multiple zeta values introduced by Yamamoto. We introduce several relations among them and, in particular, prove the cyclic sum formula, the Bowman-Bradley type formula, and the weighted sum formula. The harmonic relation, the shuffle relation, the duality relation, and the derivation relation are also presented. Comment: 24 pages, 2 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1908.09307 Zobrazit plný text záznamu View this record from Arxiv