The congruence xn =- a n ( mod m ) : Solvability and related OEIS sequences

被引：0

作者：

Merikoski, Jorma K. ^{[1
]}

Haukkanen, Pentti ^{[1
]}

Tossavainen, Timo ^{[2
]}

机构：

[1] Tampere Univ, Fac Informat Technol & Commun Sci, FI-33014 Tampere, Finland

[2] Lulea Univ Technol, Dept Arts Commun & Educ, SE-97187 Lulea, Sweden

来源：

NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS | 2024年 / 30卷 / 03期

关键词：

Congruence of powers; Integer sequence; Experimental geometry;

D O I：

10.7546/nntdm.2024.30.3.516-529

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the solvability of the congruence xn =-an (mod m), where n, m E Z`, a E Z, and gcd (a, m) = 1. Our motivation arises from computer experiments concerning a geometric property of the roots of the congruence xn + yn = 0 (mod p), where n E Z` and p E P. We encounter several OEIS sequences. We also make new observations on some of them.

引用

页码：516 / 529

页数：14

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