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October 8, 2026
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О числе решений сравнения xy≡l (mod q) под графиком дважды непрерывно дифференцируемой функции

Алгебра и анализ. 2008. Т. 20. № 5. С. 186–216.
Ustinov A.

A result by V. A.Bykovskiĭ (1981) on the number of solutions of the congruence xy≡l (modq) under the graph of a twice continuously differentiable function is refined. As an application, Porter's result (1975) on the mean number of steps in the Euclid algorithm is sharpened and extended to the case of Gauss–Kuzmin statistics.

Language: Russian
DOI
Text on another site
Keywords: алгоритм ЕвклидаEuclidean algorithmKloosterman sumsсуммы Клостерманастатистики Гаусса - Кузьмина Gauss–Kuzmin statistics
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