在代数数域中应用 A.G. 波斯特尼科夫公式

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

Hafez Al-Assad

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引用次数: 0

摘要

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。

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

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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