Summary: 



ANALYTIC CONTINUATION OF MULTIPLE

ZETA-FUNCTIONS AND THEIR VALUES

AT NON-POSITIVE INTEGERS



SHIGEKI AKIYAMA, SHIGEKI EGAMI AND YOSHIO TANIGAWA



Abstract. Analytic continuation of the multiple zeta-function is es-
tablished by a simple application of the Euler-Maclaurin summation for-
mula. Multiple zeta values at non-positive integers are defined and their
properties are investigated.

Source: Akiyama, Shigeki - Department of Mathematics, Niigata University

Collections: Mathematics