Страница публикации

A new look at some facts of number theory: alternate divisibility when constructing simple solutions to problems of arithmetic

Тип публикации: Статья в журнале

Тип материала: Текст

Авторы: Danilov V.A., Daneev A.V., Rusanov V.A.

Журнал: JP Journal of Algebra Number Theory and Applications

Язык публикации: english

Том: 51

Номера страниц: 125-143

Количество страниц: 19

Номер: 2

Год публикации: 2021

Отчетный год: 2021

DOI: 10.17654/NT051020125

Аннотация: The "Kronecker approach" is being developed to the study of general problems of number theory, in a very broad sense related to the theory of solutions of Diophantine equations. Such an "elementary" approach to some well-known facts of quadratic forms of a number can be transferred almost directly to the case of integral Euclidean rings (when we have division with remainder). In this formulation, wellknown results are obtained quite simply (for example, Fermat-Euler's Theorem), as well as some new facts concerning quadratic forms for representing prime numbers as such, as well as doubled or tripled ones in particular.

Индексируется WOS: Q5

Индексируется Scopus: Нет

Индексируется УБС: Нет

Индексируется РИНЦ: Нет

Индексируется ВАК: Нет

Индексируется CORE: Нет