In:
Journal of the Australian Mathematical Society, Cambridge University Press (CUP), Vol. 94, No. 1 ( 2013-02), p. 106-132
Kurzfassung:
Let $p$ be a prime. In this paper, we present a detailed $p$ -adic analysis on factorials and double factorials and their congruences. We give good bounds for the $p$ -adic sizes of the coefficients of the divided universal Bernoulli number ${B}_{n} / n$ when $n$ is divisible by $p- 1$ . Using these, we then establish the universal Kummer congruences modulo powers of a prime $p$ for the divided universal Bernoulli numbers ${B}_{n} / n$ when $n$ is divisible by $p- 1$ .
Materialart:
Online-Ressource
ISSN:
1446-7887
,
1446-8107
DOI:
10.1017/S1446788712000493
Sprache:
Englisch
Verlag:
Cambridge University Press (CUP)
Publikationsdatum:
2013
ZDB Id:
1478743-X
SSG:
17,1
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