Geodesic
Number of solutions in a box of a linear equation in an Abelian group
Maciej Zakarczemny1
1 Institute of Mathematics Cracow University of Technology Warszawska 24 31-155 Kraków, Poland
Colloquium Mathematicum, Tome 143 (2016) no. 1, pp. 17-22.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For every finite Abelian group $\varGamma $ and for all $g,a_1,\ldots ,a_k\in \varGamma ,$ if there exists a solution of the equation $\sum _{i=1}^k a_ix_i = g$ in non-negative integers $x_i\le b_i,$ where $b_i$ are positive integers, then the number of such solutions is estimated from below in the best possible way.
DOI : 10.4064/cm6145-12-2015
Keywords: every finite abelian group vargamma ldots vargamma there exists solution equation sum non negative integers where positive integers number solutions estimated below best possible

Maciej Zakarczemny 1

1 Institute of Mathematics Cracow University of Technology Warszawska 24 31-155 Kraków, Poland 
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Maciej Zakarczemny. Number of solutions in a box of a linear equation in an Abelian group. Colloquium Mathematicum, Tome 143 (2016) no. 1, pp. 17-22. doi : 10.4064/cm6145-12-2015. http://geodesic.mathdoc.fr/articles/10.4064/cm6145-12-2015/

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