A note on multiple L-function.(zeta functions) From: Tamsui Oxford Journal of Mathematical Sciences | Date: November 1, 2006| Author: Kim, Taekyun | COPYRIGHT 2006 Aletheia University. This material is published under license from the publisher through the Gale Group, Farmington Hills, Michigan.  All inquiries regarding rights should be directed to the Gale Group.Copyright information

Abstract

The purpose of this paper is to construct complex analytic multiple L-function and to define the generalized multiple Bernoulli numbers with [chi], which can be viewed in the interpolating of the multiple L-function at negative integers.

Keywords and Phrases: Multiple zeta function, Multiple Bernoulli numbers.

1. Introduction

Let x, [w.sub.1], [w.sub.2],..., [w.sub.r] be complex numbers with positive real parts. Then the multip...