Bounds of Divided Universal Bernoulli Numbers and Universal Kummer Congruences
نویسندگان
چکیده
Let p be a prime. We obtain good bounds for the p-adic sizes of the coefficients of the divided universal Bernoulli number B̂n n when n is divisible by p− 1. As an application, we give a simple proof of Clarke’s 1989 universal von Staudt theorem. We also establish the universal Kummer congruences modulo p for the divided universal Bernoulli numbers for the case (p − 1)|n, which is a new result.
منابع مشابه
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تاریخ انتشار 2007