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.
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页码：213 / 224
页数：12
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