On Diophantine Systems with Sum of Squares and Linear Form Satisfying a Congruential Condition of a Special Form

On Diophantine Systems with Sum of Squares and Linear Form Satisfying a Congruential Condition of a Special Form

An asymptotic formula with a residual term is obtained for the number of solutions of a Diophantine system containing the sum of squares of variables, as well as a linear form, and each solution of the system satisfies a congruential condition of a special kind. In addition, in the case of an even n...

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Главные авторы:	Pachev, U. M., Пачев, У. М., Dokhov, R. A., Дохов, Р. А.
Формат:	Статья
Язык:	English
Опубликовано:	Springer Science and Business Media Deutschland GmbH 2024
Темы:	Diophantine system with sum of squares Special series of Diophantine system Linear form Asymptotic formula Congruences of the second degree Congruential condition
Online-ссылка:	https://dspace.ncfu.ru/handle/123456789/29201
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