Email this article 
Applying A. G. Postnikov's Formula in Algebraic Number Fields
- Authors: Al-Assad H.1
-
Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 517, No 1 (2024)
- Pages: 30-32
- Section: MATHEMATICS
- URL: https://jdigitaldiagnostics.com/2686-9543/article/view/647971
- DOI: https://doi.org/10.31857/S2686954324030048
- EDN: https://elibrary.ru/YBNQFB
- ID: 647971
Cite item
Open Access
Access granted
Subscription Access
Abstract
A new result has been obtained generalizing A.G. Postnikov's formula on indices for the case of a power of 2. The multiplicative structure of the reduced residue systems modulo the degree of a prime ideal is investigated. Estimates of some sums of characters in the fields of algebraic numbers are established.
About the authors
H. Al-Assad
Lomonosov Moscow State University
Author for correspondence.
Email: 1hbrh0@gmail.com
Russian Federation, Moscow
References
- Постников А.Г. О сумме характеров по модулю, равного степени простого числа // Изв. АН СССР. Сер. матем. 1955. Т. 19. № 1. С. 11–16.
- Аль-Ассад Х. О сумме характеров по модулю, равного степени простого числа 2 // Чебышевский сб. 2022. Т. 23. № 2. С. 201–208.
- Elia M.J., Interlando C., Rosenbaum R. On the Structure of Residue Rings of Prime Ideals in Algebraic Number Fields. Part I: Unramified Primes // International Mathematical Forum. 2010. V. 5. № 56. С. 2795–2808.
- Elia M.J., Interlando C., Rosenbaum R. On the Structure of Residue Rings of Prime Ideals in Algebraic Number Fields. Part II: Ramified Primes // International Mathematical Forum. 2011. V. 6. № 12. С. 565–589.
- Виноградов И.М. Избранные труды . М.: Издательство Академии наук СССР, 1952. 428 с.
- Архипов Г.И., Карацуба А.А., Чубариков В.Н. Теория кратных тригонометрических сумм. М.: Наука; Физматлит, 1987. 368 с.
Supplementary files
