Number of solutions in a box of a linear equation in an Abelian group
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.
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
Affiliations des auteurs :
Maciej Zakarczemny 1
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author = {Maciej Zakarczemny},
title = {Number of solutions in a box of a linear equation in an {Abelian} group},
journal = {Colloquium Mathematicum},
pages = {17--22},
publisher = {mathdoc},
volume = {143},
number = {1},
year = {2016},
doi = {10.4064/cm6145-12-2015},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/cm6145-12-2015/}
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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
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