On multiple Bernoulli polynomials and multiple <i>L</i> -functions of root systems
On multiple Bernoulli polynomials and multiple <i>L</i> -functions of root systems
We define generalized Bernoulli numbers, Bernoulli polynomials and multi-variable L-functions associated with root systems. We prove that the values of those L-functions at positive integers can be expressed in terms of those Bernoulli polynomials, and give an explicit formula for the latter. This result is a character analogue of Witten's …