Number of Solutions of Linear Congruence Systems
Marcus Nilsson, Robert Nyqvist
TL;DR
This paper derives a formula for counting solutions to systems of linear congruences using elementary mathematical techniques.
Contribution
It introduces a new, straightforward formula for the number of solutions to linear congruence systems, simplifying previous approaches.
Findings
Provides an explicit formula for solution count
Uses elementary methods for derivation
Simplifies understanding of linear congruence solutions
Abstract
We find a formula for the number of solutions of linear congruence systems, by using elementary methods.
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Taxonomy
TopicsPolynomial and algebraic computation · Advanced Mathematical Identities