Short intervals asymptotic formulae for binary problems with primes and powers, II: density 1

被引：0

作者：

Alessandro Languasco

Alessandro Zaccagnini

机构：

[1] Università di Padova,Dipartimento di Matematica

[2] Università di Parma,Dipartimento di Matematica e Informatica

来源：

Monatshefte für Mathematik | 2016年 / 181卷

关键词：

Waring-Goldbach problem; Hardy-Littlewood method; Primary 11P32; Secondary 11P55; 11P05;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove that suitable asymptotic formulae in short intervals hold for the problems of representing an integer as a sum of a prime square and a square, or a prime square. Such results are obtained both assuming the Riemann Hypothesis and in the unconditional case.

引用

页码：419 / 435

页数：16

共 9 条

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[2] Languasco A(1994)On Linnik’s theorem on Goldbach numbers in short intervals and related problems Ann. Inst. Fourier 44 307-322
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[5] Zaccagnini A(1977)On the fractional parts of Ann. Inst. Fourier 27 1-30
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