Identities of symmetry for generalized twisted Bernoulli polynomials twisted by unramified roots of unity.

Authors: Dae San Kim
Subjects: Number Theory
link: http://arxiv.org/abs/1004.4038
Abstract

We derive three identities of symmetry in two variables and eight in three
variables related to generalized twisted Bernoulli polynomials and generalized
twisted power sums, both of which are twisted by unramified roots of unity. The
case of ramified roots of unity was treated previously. The derivations of
identities are based on the $p$-adic integral expression, with respect to a
measure introduced by Koblitz, of the generating function for the generalized
twisted Bernoulli polynomials and the quotient of $p$-adic integrals that can
be expressed as the exponential generating function for the generalized twisted
power sums.