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

IF 0.5 4区数学 Q3 MATHEMATICS

Doklady Mathematics Pub Date : 2024-06-20 DOI:10.1134/S1064562424601185

Hafez Al-Assad

引用次数: 0

Abstract

We present a new result on the generalisation of A.G. Postnikov’s formula to the case of powers of 2. This, together with the original work of A.G. Postnikov and some structural theorems on reduced residue systems modulo prime-power ideals, is used to obtain estimates for certain character sums in algebraic number fields.

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在代数数域中应用 A.G. 波斯特尼科夫公式

摘要我们提出了一个将 A.G. 波斯特尼科夫公式推广到 2 的幂情况的新结果。这个结果，连同 A.G. 波斯特尼科夫的原始工作和一些关于素幂理想模的还原残差系统的结构定理，被用来获得代数数域中某些特征和的估计值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Doklady Mathematics 数学-数学

CiteScore

1.00

自引率

16.70%

发文量

审稿时长

3-6 weeks

期刊介绍： Doklady Mathematics is a journal of the Presidium of the Russian Academy of Sciences. It contains English translations of papers published in Doklady Akademii Nauk (Proceedings of the Russian Academy of Sciences), which was founded in 1933 and is published 36 times a year. Doklady Mathematics includes the materials from the following areas: mathematics, mathematical physics, computer science, control theory, and computers. It publishes brief scientific reports on previously unpublished significant new research in mathematics and its applications. The main contributors to the journal are Members of the RAS, Corresponding Members of the RAS, and scientists from the former Soviet Union and other foreign countries. Among the contributors are the outstanding Russian mathematicians.