p-adic l-functions and sums of powers

Abstract

The purpose of this paper is to give the explicit formulae of p-adic l-functions and sums of powers which are related to Euler numbers.

10 pages

References in corpus (2)

• A note on the alternating sums of powers of consecutive q-integers
• On the two-variable Dirichlet q-L-series

Cited by in corpus (7)

• A Note on p-Adic Invariant Integral in the Rings of p-Adic Integers
• Explicit formulas for p-adic integrals: approach to p-adic distributions and some families of special numbers and polynomials
• Pro-unipotent harmonic actions and a computation of $p$-adic cyclotomic multiple zeta values
• Sequential periods of the crystalline Frobenius
• Extended Congruences for Harmonic Numbers
• p-adic q-expansion of alternating sums of powers
• $p$-adic multiple zeta values and $p$-adic pro-unipotent harmonic actions : summary of parts I and II