Some Relations among Apostol-Vu Double Zeta Values for Coordinatewise Limits at Non-positive Integers

Abstract

We consider Apostol-Vu double zeta values for coordinatewise limits at non-positive integers, and we give some relations among Riemann's zeta values, Euler-Zagier double zeta values and Apostol-Vu double zeta values for all coordinatewise limits at non-positive integers. Using the relations, we also give relations among multiple Bernoulli numbers.