On the von Staudt-Clausen's theorem related to q-Frobenius-Euler numbers
Künye
Araci, S., & Acikgoz, M. (January 01, 2016). On the von Staudt-Clausen's theorem related to q-Frobenius-Euler numbers. Journal of Number Theory, 159, 329-339.Özet
In this paper, we introduce q-Frobenius-Euler numbers and derive some new properties. From those properties, we show that this number is a p-adic integer, and can be expressed by von Staudt-Clausen's theorem. We also get a type of Kummer congruence for this number. (C) 2015 Elsevier Inc. All rights reserved.