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Some Congruences for Generalized Euler Numbers

Gessel, Ira M.

Canadian Mathematical Society ; 1983

In: Canadian Journal of Mathematics Vol. 35, No. 4 ( 1983-08-01), p. 687-709

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In: Canadian Journal of Mathematics, Canadian Mathematical Society, Vol. 35, No. 4 ( 1983-08-01), p. 687-709

Abstract: The generalized Euler numbers may be defined by Since is zero unless m divides n, we shall write for . Leeming and MacLeod [12] recently gave some congruences for these numbers. They found congruences (mod 16) for where m = 3, 6, 8, 12, and 16. Thus for m = 3, their congruence is They also proved that , and , and they made several conjectures which may be stated as follows: C1 C2 C3 C4

Type of Medium: Online Resource

ISSN: 0008-414X , 1496-4279

URL: Article

DOI: 10.4153/CJM-1983-039-5

Language: English

Publisher: Canadian Mathematical Society

Publication Date: 1983

detail.hit.zdb_id: 1467410-5

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