q-Euler and Genocchi numbers

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dc.creatorKim, Taekyun
dc.date2005-06-14
dc.date.accessioned2026-07-07T05:20:45Z
dc.date.available2026-07-07T05:20:45Z
dc.descriptionCarlitz has introduced an interesting $q$-analogue of Frobenius-Euler numbers in [4]. He has indicated a corresponding Stadudt-Clausen theorem and also some interesting congruence properties of the $q$-Euler numbers. In this paper we give another construction of $q$-Euler numbers, which are different than his $q$-Euler numbers. By using our $q$-Euler numbers, we define the $q$-analogue of Genocchi numbers and investigate the relations between $q$-Euler numbers and $q$-analogs of Genocchi numbers.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0506278
dc.identifierhttp://arxiv.org/abs/math/0506278
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75493
dc.subjectNumber Theory
dc.subject11B68, 11S80
dc.titleq-Euler and Genocchi numbers
dc.typetext

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