q-Euler and Genocchi numbers
arXiv:math/0506278
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.
7 pages