SUMS OF ONE PRIME POWER AND TWO SQUARES OF PRIMES IN SHORT INTERVALS

被引：4

作者：

Languasco, Alessandro ^{[1
]}

Zaccagnini, Alessandro ^{[2
]}

机构：

[1] Univ Padua, Dipartimento Matemat Tullio Levi Civita, Via Trieste 63, I-35121 Padua, Italy

[2] Univ Parma, Dipartimento Sci Matemat Fis & Informat, Parco Area Sci 53-A, I-43124 Parma, Italy

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2021年 / 51卷 / 01期

关键词：

Waring-Goldbach problem; Laplace transforms; ASYMPTOTIC FORMULAS; BINARY PROBLEMS;

D O I：

10.1216/rmj.2021.51.213

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let k >= 1 be an integer. We prove that a suitable asymptotic formula for the average number of representations of integers n = p(1)(k) + p(2)(2) + p(3)(2), where p(1), p(2), p(3) are prime numbers, holds in intervals shorter than the ones previously known.

引用

页码：213 / 224

页数：12

共 29 条

[1] Sum of one prime and two squares of primes in short intervals
Languasco, Alessandro
Zaccagnini, Alessandro
JOURNAL OF NUMBER THEORY, 2016, 159 : 45 - 58
[2] Sums of primes and squares of primes in short intervals
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[5] One Prime, Two Squares of Primes and Powers of 2
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[6] On the sum of a prime power and a power in short intervals
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[8] ON SUMS OF TWO PRIME SQUARES, FOUR PRIME CUBES AND POWERS OF TWO
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[9] ON SUMS OF FOUR SQUARES OF PRIMES
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[10] Hua's theorem on prime squares in short intervals
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