On Additive Binary Problems with Semiprime Numbers of a Specific Form

被引：0

作者：

Zinchenko N.A. ^{[1
]}

机构：

[1] Belgorod State National Research University, Belgorod

来源：

Journal of Mathematical Sciences | 2022年 / 260卷 / 2期

关键词：

11D75; binary additive problem; prime number; semiprime number; short interval; trigonometric sum;

D O I：

10.1007/s10958-022-05682-6

中图分类号：

学科分类号：

摘要：

The paper is devoted to methods of solution of binary additive problems with semiprime numbers, which form sufficiently “rare” subsequences of the natural series. Additional conditions are imposed on these numbers; the main condition is belonging to so-called Vinogradov intervals. We solve two problems that are analogs to the Titchmarsh divisor problem; namely, based on the Vinogradov method of trigonometric sums, we obtain asymptotic formulas for the number of solutions to Diophantine equations with semiprime numbers of a specific form. © 2022, Springer Science+Business Media, LLC, part of Springer Nature.

引用

页码：175 / 193

页数：18

共 17 条

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