Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415658 | Journal of Number Theory | 2012 | 39 Pages |
Abstract
The definition for the p-adic Hurwitz-type Euler zeta functions has been given by using the fermionic p-adic integral on Zp. By computing the values of this kind of p-adic zeta function at negative integers, we show that it interpolates the Euler polynomials p-adically. Many properties are provided for the p-adic Hurwitz-type Euler zeta functions, including the convergent Laurent series expansion, the distribution formula, the functional equation, the reflection formula, the derivative formula, the p-adic Raabe formula and so on. The definition for the p-adic Euler L-functions has also been given by using the p-adic Hurwitz-type Euler zeta functions.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Min-Soo Kim, Su Hu,