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arXiv · 2111.14180

Two variable polynomial congruences and capacity theory

T. Chinburg·B. Hemenway Falk·N. Heninger·Z. Scherr
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Abstract

We use capacity theory to analyze Coppersmith's method for finding small solutions of linear two variable polynomial congruences. We show that the method will succeed in a positive proportion of cases and fail in a different positive proportion of cases. We also bound the number of small solutions via capacity theory.

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T. Chinburg, B. Hemenway Falk, N. Heninger, Z. Scherr. 2021-11-28. Two variable polynomial congruences and capacity theory. https://arxiv.org/abs/2111.14180

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