COSINE HIGHER-ORDER EULER NUMBER CONGRUENCES AND DIRICHLET <i>L</i>-FUNCTION VALUES
نویسندگان
چکیده
منابع مشابه
Congruences and Exponential Sums with the Euler Function
where gcd(a, p) = 1, and N is sufficiently large. Our bounds are nontrivial for a wide range of values of p, starting with p ≥ logN . We remark that although it might be possible to improve on this power of logN , for very small values of p relative to N , it is simply not possible to obtain nontrivial bounds. In fact, it has been shown in Theorem 3.5 of [5] that for any prime number p of size ...
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Let [x] be the integral part of x. Let p > 5 be a prime. In the paper we mainly determine P[p/4] x=1 1 xk (mod p2), p−1 [p/4] (mod p3), Pp−1 k=1 2 k (mod p3) and Pp−1 k=1 2 k2 (mod p2) in terms of Euler and Bernoulli numbers. For example, we have
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ژورنال
عنوان ژورنال: Kyushu Journal of Mathematics
سال: 2017
ISSN: 1340-6116,1883-2032
DOI: 10.2206/kyushujm.71.197