Sequences of binomial coefficients modulo prime

被引：0
|
作者：
Zyuz'kov, Valentin M. [1 ]
机构：
[1] Tomsk State Univ, Control Syst & Radioelect, Tomsk, Russia
来源：
VESTNIK TOMSKOGO GOSUDARSTVENNOGO UNIVERSITETA-MATEMATIKA I MEKHANIKA-TOMSK STATE UNIVERSITY JOURNAL OF MATHEMATICS AND MECHANICS | 2023年 / 84期
关键词：
experimental mathematics; sequences of binomial coefficients; periods; congruences; Mathematica system;
D O I：
10.17223/19988621/84/2
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The behavior of infinite sequences of binomial coefficients ((x) (y)) mod p, x = 0, 1, 2, ... ; p is a prime number) is considered. In the search of regularities, preliminary mathematical experiments are carried out using Wolfram Mathematica. The periodicity of these sequences is proved and the length of the period is determined as p to the power of [log(p) (y) ] + 1.
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页码：14 / 22
页数：9
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