Squares of primes and powers of 2

被引：51

作者：

Liu, JY ^{[1
]}

Liu, MC

Zhan, T

机构：

[1] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China

[2] Univ Hong Kong, Dept Math, Pokfulam, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 1999年 / 128卷 / 04期

关键词：

generalized Goldbach problems; circle method; sieve methods;

D O I：

10.1007/s006050050065

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

As an extension of the Linnik-Gallagher results on the "almost Goldbach" problem, we prove, among other things, that there exists a positive integer k(0) such that every large even integer is a sum of four squares of primes and k(0) powers of 2.

引用

页码：283 / 313

页数：31

共 50 条

[1] Squares of Primes and Powers of 2
Jianya Liu
Ming-Chit Liu
Tao Zhan
[J]. Monatshefte für Mathematik, 1999, 128 : 283 - 313
[2] Squares of primes and powers of 2, II
Liu, JY
Liu, MC
Zhan, T
[J]. JOURNAL OF NUMBER THEORY, 2002, 92 (01) : 99 - 116
[3] Four squares of primes and powers of 2
Zhao, Lilu
[J]. ACTA ARITHMETICA, 2014, 162 (03) : 255 - 271
[4] DENSITY OF TWO SQUARES OF PRIMES AND POWERS OF 2
Liu, Zhixin
Lu, Guangshi
[J]. INTERNATIONAL JOURNAL OF NUMBER THEORY, 2011, 7 (05) : 1317 - 1329
[5] Four squares of primes and 165 powers of 2
Liu, JY
Lu, GS
[J]. ACTA ARITHMETICA, 2004, 114 (01) : 55 - 70
[6] One Prime, Two Squares of Primes and Powers of 2
Z. Liu
[J]. Acta Mathematica Hungarica, 2014, 143 : 3 - 12
[7] One Prime, Two Squares of Primes and Powers of 2
Liu, Z.
[J]. ACTA MATHEMATICA HUNGARICA, 2014, 143 (01) : 3 - 12
[8] On sum of one prime, two squares of primes and powers of 2
Lu, Guangshi
[J]. MONATSHEFTE FUR MATHEMATIK, 2018, 187 (01): : 113 - 123
[9] On sum of one prime, two squares of primes and powers of 2
Guangshi Lü
[J]. Monatshefte für Mathematik, 2018, 187 : 113 - 123
[10] Representation of even integers as sums of squares of primes and powers of 2
Liu, JY
Liu, MC
[J]. JOURNAL OF NUMBER THEORY, 2000, 83 (02) : 202 - 225

← 1 2 3 4 5 →