Integral Congruences
Number Theory
2007-05-23 v2
Abstract
To each i, j belonging to some set of integers, attach the integer a(i,j). Are there integers x(i) such that x(j)-x(i) is congruent to a(i,j) mod (i,j)? A necessary condition is that a(i,j)+a(j,k) be congruent to a(i,k) mod (i,j,k). This condition is sufficient.
Cite
@article{arxiv.math/0510369,
title = {Integral Congruences},
author = {Pierre-Yves Gaillard},
journal= {arXiv preprint arXiv:math/0510369},
year = {2007}
}
Comments
9 pages, LaTeX. Results have been improved