6533b7d8fe1ef96bd126a475
RESEARCH PRODUCT
The Indecomposable Solutions of Linear Congruences
Klaus Pommereningsubject
Mathematics - Number TheoryMathematics::Commutative AlgebraFOS: MathematicsNumber Theory (math.NT)11D79description
This article considers the minimal non-zero (= indecomposable) solutions of the linear congruence $1\cdot x_1 + \cdots + (m-1)\cdot x_{m-1} \equiv 0 \pmod m$ for unknown non-negative integers $x_1, \ldots, x_n$, and characterizes the solutions that attain the Eggleton-Erd\H{o}s bound. Furthermore it discusses the asymptotic behaviour of the number of indecomposable solutions. The results have direct interpretations in terms of zero-sum sequences and invariant theory.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-03-10 |