A pair of equations in four prime squares and powers of 2

被引：2

作者：

Hu, Liqun ^{[1
]}

Kong, Yafang ^{[2
]}

Liu, Zhixin ^{[3
]}

机构：

[1] Nanchang Univ, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

[2] Chongqing Jiaotong Univ, Coll Math & Stat, Chongqing 400074, Peoples R China

[3] Tianjin Univ, Sch Math, Tianjin 300072, Peoples R China

来源：

RAMANUJAN JOURNAL | 2021年 / 54卷 / 01期

关键词：

Circle method; Linnik problem; Powers of 2; LINNIKS APPROXIMATION;

D O I：

10.1007/s11139-019-00171-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain when k=98\documentclass[12pt]{minimal}\usepackage{amsmath} integers satisfying some necessary conditions can be represented in the form of a pair of four prime squares and k powers of 2. This improves the previous result

引用

页码：79 / 92

页数：14

共 50 条

[21] On sum of one prime, two squares of primes and powers of 2
Lu, Guangshi
MONATSHEFTE FUR MATHEMATIK, 2018, 187 (01): : 113 - 123
[22] On sum of one prime, two squares of primes and powers of 2
Guangshi Lü
Monatshefte für Mathematik, 2018, 187 : 113 - 123
[23] On pairs of equations in eight prime cubes and powers of 2
Li, Gen
Hu, Liqun
Huang, Xianjiu
AIMS MATHEMATICS, 2022, 8 (02): : 3940 - 3948
[24] ON THE NUMBER OF DISTINCT NON-VANISHING REPRESENTATIONS OF PRIME POWERS BY SUMS OF THREE AND FOUR SQUARES
Huerlimann, Werner
JP JOURNAL OF ALGEBRA NUMBER THEORY AND APPLICATIONS, 2016, 38 (06): : 647 - 664
[25] On sums of a prime and four prime squares in short intervals
Lue, Guangshi
JOURNAL OF NUMBER THEORY, 2008, 128 (04) : 805 - 819
[26] On Sums of a Prime and Four Prime Squares in Short Intervals
Guang Shi L Department of Mathematics
Acta Mathematica Sinica(English Series), 2008, 24 (08) : 1291 - 1302
[27] On sums of a prime and four prime squares in short intervals
Meng, XM
ACTA MATHEMATICA HUNGARICA, 2004, 105 (04) : 261 - 283
[28] On sums of a prime and four prime squares in short intervals
Xian-Meng Meng
Acta Mathematica Hungarica, 2004, 105 : 261 - 283
[29] On sums of a prime and four prime squares in short intervals
Guang Shi Lü
Xian Meng Meng
Acta Mathematica Sinica, English Series, 2008, 24 : 1291 - 1302
[30] On sums of a prime and four prime squares in short intervals
Lue, Guang Shi
Meng, Xian Meng
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 24 (08) : 1291 - 1302

← 1 2 3 4 5 →