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

被引：12

作者：

Languasco, Alessandro ^{[1
]}

Zaccagnini, Alessandro ^{[2
]}

机构：

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

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

来源：

MONATSHEFTE FUR MATHEMATIK | 2016年 / 181卷 / 02期

关键词：

Waring-Goldbach problem; Hardy-Littlewood method;

D O I：

10.1007/s00605-015-0871-z

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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：17

共 5 条

[1] Short intervals asymptotic formulae for binary problems with primes and powers, II: density 1
Alessandro Languasco
Alessandro Zaccagnini
Monatshefte für Mathematik, 2016, 181 : 419 - 435
[2] Short intervals asymptotic formulae for binary problems with primes and powers, I: density 3/2
Languasco, Alessandro
Zaccagnini, Alessandro
RAMANUJAN JOURNAL, 2017, 42 (02) : 371 - 383
[3] SHORT INTERVALS ASYMPTOTIC FORMULAE FOR BINARY PROBLEMS WITH PRIME POWERS, II
Languasco, Alessandro
Zaccagnini, Alessandro
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2020, 109 (03) : 351 - 370
[4] Short intervals asymptotic formulae for binary problems with prime powers
Languasco, Alessandro
Zaccagnini, Alessandro
JOURNAL DE THEORIE DES NOMBRES DE BORDEAUX, 2018, 30 (02): : 609 - 635
[5] Additive representation in short intervals, II: sums of two like powers
Bruedern, Joerg
Wooley, Trevor D.
MATHEMATISCHE ZEITSCHRIFT, 2017, 286 (1-2) : 179 - 196

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