A formula for the number of solutions of a restricted linear congruence

Consider the linear congruence equation $x_1+\ldots+x_k \equiv b\pmod{n^s}$ for $b\in\mathbb Z$, $n,s\in\mathbb N$. Let $(a,b)_s$ denote the generalized gcd of $a$ and $b$ which is the largest $l^s$ with $l\in\mathbb N$ dividing $a$ and $b$ simultaneously. Let $d_1,\ldots, d_{\tau(n)}$ be all positi...

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Bibliographic Details
Main Author: K. Vishnu Namboothiri
Format: Article
Language:English
Published: Institute of Mathematics of the Czech Academy of Science 2021-04-01
Series:Mathematica Bohemica
Subjects:
Online Access:http://mb.math.cas.cz/full/146/1/mb146_1_4.pdf