It is well known that the multiple zeta functions satisfy the stuffle relation. Recently it is proved (see J. Mehta et al. (2016) [3]) that a weighted variant of the multiple zeta function satisfies the shuffle relation. In this article we characterize all the weighted multiple zeta functions which satisfy the stuffle relation (respectively shuffle relation). (C) 2018 Elsevier Masson SAS, All rights reserved.
机构:
Cent South Univ, HNP LAMA, Sch Math & Stat, Changsha, Hunan, Peoples R ChinaCent South Univ, HNP LAMA, Sch Math & Stat, Changsha, Hunan, Peoples R China