Applying A. G. Postnikov's Formula in Algebraic Number Fields

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.

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Journal
Доклады Российской академии наук Математика информатика процессы управления
Published
2024-10-03
DOI
https://doi.org/10.31857/s2686954324030048
Primary Topic
advanced mathematical theories
Type
article
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0.00
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article

Applying A. G. Postnikov's Formula in Algebraic Number Fields

H. Al-Assad
Доклады Российской академии наук Математика информатика процессы управления
advanced mathematical theories
article

Applying A. G. Postnikov's Formula in Algebraic Number Fields

H. Al-Assad
article en

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.

Доклады Российской академии наук Математика информатика процессы управленияVol. 517(1)
Lomonosov Moscow State University (RU), Moscow State University (TJ)
Openalex Percentile: Top 71%
advanced mathematical theories
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