2009

DOI: 10.4213/mzm4517

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О Среднем Числе Шагов В Алгоритме Евклида С Выбором Минимального По Модулю Остатка

Алексей Владимирович Устинов¹,

A. V. Ustinov²

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Cited by 8 publications

(1 citation statement)

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“…В статье [12] доказано, что ( / ) = −1 ( / ). Поэтому результаты о средних значениях ( / ) (и формулы для вторых констант в асимптотических формулах) получаются подстановкой = − 1 в формулы (8) и (9).…”

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О Среднем Числе Шагов В Алгоритме Евклида С Нечетными Неполными Частными

Устинов¹,

2010

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“…В статье [12] доказано, что ( / ) = −1 ( / ). Поэтому результаты о средних значениях ( / ) (и формулы для вторых констант в асимптотических формулах) получаются подстановкой = − 1 в формулы (8) и (9).…”

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О Среднем Числе Шагов В Алгоритме Евклида С Нечетными Неполными Частными

Устинов¹,

2010

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Modular hyperbolas

¹

2012

Jpn. J. Math.

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We give a survey of a variety of recent results about the distribution and some geometric properties of points (x, y) on modular hyperbolas xy ≡ a (mod m). We also outline a very diverse range of applications of such results, discuss multivariate generalisations and suggest a number of open problems of different levels of difficulty.

Asymptotic behaviour of the first moment of the number of steps in the by-excess and by-deficiency Euclidean algorithms

2012

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No abstract

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