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 23 条

[21] RELATIVE COMMUTANT ALGEBRAS OF POWERS BINARY SHIFTS ON THE HYPERFINITE-II1-FACTOR
ENOMOTO, M
NAGISA, M
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MATHEMATICA SCANDINAVICA, 1991, 68 (01) : 115 - 130
[22] Limiting classification on linearized eigenvalue problems for 1-dimensional Allen-Cahn equation II - Asymptotic profiles of eigenfunctions
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[23] On lattice points in the domain vertical bar xy vertical bar <= 1, vertical bar x plus y vertical bar <=root 5, and applications to asymptotic formulae in lattice point theory (II)
Mahler, K
PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1944, 40 : 116 - 120

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