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Integral Congruences

Pierre-Yves Gaillard
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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.

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Pierre-Yves Gaillard. 2005-10-29. Integral Congruences. https://arxiv.org/abs/math/0510369

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