涉及Fermat商和Bernoulli数的整数超幂和的一些同余

IF 0.4 Q4 MATHEMATICS

Notes on Number Theory and Discrete Mathematics Pub Date : 2022-08-11 DOI:10.7546/nntdm.2022.28.3.533-541

Fouad Bounebirat, M. Rahmani

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引用次数: 0

摘要

对于给定的素数p≥5，设ℤ_p表示有理p整数的集合（那些分母不能被p整除的有理数）。本文用Fermat商、Wolstenholme商、Bernoulli数和Euler数在整数的超幂和上建立了模素数幂p5的一些同余。

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Some congruences on the hyper-sums of powers of integers involving Fermat quotient and Bernoulli numbers

For a given prime p ≥ 5, let ℤ_p denote the set of rational p-integers (those rational numbers whose denominator is not divisible by p). In this paper, we establish some congruences modulo a prime power p5 on the hyper-sums of powers of integers in terms of Fermat quotient, Wolstenholme quotient, Bernoulli and Euler numbers.

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Notes on Number Theory and Discrete Mathematics MATHEMATICS-

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33.30%

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