A Note on p-Adic Invariant Integral in the Rings of p-Adic Integers

Abstract

In [2], I constructed the p-adic q-integral on Zp. In this paper, we consider the properties of the p-adic invariant p-adic q-integral in the ring of p-adic integers at q=-1. Finally we give the some applications of p-adic q-integration at q=-1. These properties are useful and worthwhile to study Euler numbers and polynomials.

5 pages

References in corpus (1)

• p-adic l-functions and sums of powers

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• Carlitz q-Bernoulli numbers and q-Stirling numbers
• Note on q-extensions of Euler numbers and polynomials of higher order
• q-Euler Numbers and Polynomials Associated with Basic Zeta Functions
• An Invarian p-adic q-integral on the rings of p-adic integers