On the congruence ax+by = 1 modulo xy

J. Brzezinski; W. Holsztynski; P. Kurlberg

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On the congruence ax+by = 1 modulo xy

J. Brzezinski·W. Holsztynski·P. Kurlberg

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Abstract

We give bounds on the number of solutions to the Diophantine equation (X+1/x)(Y+1/y) = n as n tends to infinity. These bounds are related to the number of solutions to congruences of the form ax+by = 1 modulo xy.

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BibTeX RIS

J. Brzezinski, W. Holsztynski, P. Kurlberg. 2003-12-17. On the congruence ax+by = 1 modulo xy. https://arxiv.org/abs/math/0308194

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