On the von Staudt-Clausen's theorem related to q-Frobenius-Euler numbers
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Date
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Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
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info:eu-repo/semantics/embargoedAccess
Abstract
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.
Description
Keywords
Fermionic p-adic q-integral on Z(p), Frobenius-Euler numbers, q-Frobenius-Euler numbers, Von Staudt-Clausen's theorem, Kummer congruence, Generating function
Journal or Series
JOURNAL OF NUMBER THEORY
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Volume
159
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Citation
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.
