Geodesic
On a linear homogeneous congruence
A. Schinzel 1   ; M. Zakarczemny 2
1 Institute of Mathematics Polish Academy of Sciences P.O. Box 21 00-956 Warszawa, Poland
2 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland
Colloquium Mathematicum, Tome 106 (2006) no. 2, pp. 283-292 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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The number of solutions of the congruence $a_1x_1+\cdots+a_kx_k\equiv 0\pmod n $ in the box $0\le x_i\le b_i$ is estimated from below in the best possible way, provided for all $i,j$ either $(a_i,n)\,|\, (a_j,n)$ or $ (a_j,n)\,|\, (a_i,n)$ or $n\,|\, [a_i,a_j]$.
DOI : 10.4064/cm106-2-8
Keywords: number solutions congruence cdots equiv pmod box estimated below best possible provided either j

A. Schinzel  1   ; M. Zakarczemny  2

1 Institute of Mathematics Polish Academy of Sciences P.O. Box 21 00-956 Warszawa, Poland
2 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland 
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A. Schinzel; M. Zakarczemny. On a linear homogeneous congruence. Colloquium Mathematicum, Tome 106 (2006) no. 2, pp. 283-292. doi: 10.4064/cm106-2-8

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