q-Euler and Genocchi numbers
Number Theory
2007-05-23 v1
Abstract
Carlitz has introduced an interesting -analogue of Frobenius-Euler numbers in [4]. He has indicated a corresponding Stadudt-Clausen theorem and also some interesting congruence properties of the -Euler numbers. In this paper we give another construction of -Euler numbers, which are different than his -Euler numbers. By using our -Euler numbers, we define the -analogue of Genocchi numbers and investigate the relations between -Euler numbers and -analogs of Genocchi numbers.
Cite
@article{arxiv.math/0506278,
title = {q-Euler and Genocchi numbers},
author = {Taekyun Kim},
journal= {arXiv preprint arXiv:math/0506278},
year = {2007}
}
Comments
7 pages