Sum of one prime and two squares of primes in short intervals

被引：14

作者：

Languasco, Alessandro ^{[1
]}

Zaccagnini, Alessandro ^{[2
]}

机构：

[1] Univ Padua, Dipartimento Matemat, I-35121 Padua, Italy

[2] Univ Parma, Dipartimento Matemat & Informat, I-43124 Parma, Italy

来源：

JOURNAL OF NUMBER THEORY | 2016年 / 159卷

关键词：

Waring-Goldbach problem; Laplace transforms; GOLDBACH NUMBERS;

D O I：

10.1016/j.jnt.2015.07.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Assuming the Riemann Hypothesis we prove that the interval [N, N + H] contains an integer which is a sum of a prime and two squares of primes provided that H >= C(log N)(4), where C > 0 is an effective constant. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：45 / 58

页数：14

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