pith. sign in

arxiv: 1004.4038 · v1 · submitted 2010-04-23 · 🧮 math.NT

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

classification 🧮 math.NT
keywords twistedgeneralizedbernoulliidentitiespolynomialsrootsunityadic
0
0 comments X
read the original 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.

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.