Geodesic
Generalized Euler Number Sequences: Asymptotic Estimates and Congruences
Canadian journal of mathematics, Tome 35 (1983) no. 3, pp. 526-546

Voir la notice de l'article provenant de la source Cambridge University Press

We define (as in [7]) integer sequences one for each positive integer k ≧ 2, by 1.1 where are the kth roots of unity and (E (k))n is replaced by after multiplying out. We note that (1.1) implies , n ≠ 0 (mod k).In [7], we considered some special properties of these number sequences, proved several congruences and conjectured several others. This paper is a continuation of the work presented in [7].In Section 2 we demonstrate the asymptotic rate of growth of the numbers by showing that In Section 3 we present a large number of congruences (modulo 2048), some of which are proved or can be proved by the techniques presented herein, and other congruences which appear to be true on the basis of numerical evidence. 
Leeming, D. J.; Macleod, R. A. Generalized Euler Number Sequences: Asymptotic Estimates and Congruences. Canadian journal of mathematics, Tome 35 (1983) no. 3, pp. 526-546. doi: 10.4153/CJM-1983-030-x
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