DENSITY OF INTEGERS THAT ARE THE SUM OF FOUR CUBES OF PRIME

被引：0

作者：

REN XIUMIN School of Economics

机构：

来源：

Chinese Annals of Mathematics | 2001年 / 02期

基金：

中国国家自然科学基金;

关键词：

Waring-Goldbach problem; Hardy-Littlewood method; Sieve methods;

D O I：

暂无

中图分类号：

O156.4 [解析数论];

学科分类号：

070104 ;

摘要：

Using the circle method and sieves, the author proves that a positive proportion of positive integers can be represented as the sum of four cubes of primes.

引用

页码：233 / 242

页数：10

共 50 条

[31] Cube sum problem for integers having exactly two distinct prime factors
Dipramit Majumdar
Pratiksha Shingavekar
Proceedings - Mathematical Sciences, 133
[32] Cube sum problem for integers having exactly two distinct prime factors
Majumdar, Dipramit
Shingavekar, Pratiksha
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2023, 133 (02):
[33] ON THE SUM OF CUBES
ROSENTHALL, E
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1948, 54 (04) : 366 - 370
[34] A SUM OF CUBES
ROSENTHA.E
AMERICAN MATHEMATICAL MONTHLY, 1968, 75 (06): : 684 - &
[35] SUMS OF CUBES OF GAUSSIAN INTEGERS
COHN, JHE
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 29 (02) : 426 - +
[36] Sum of cubes is square of sum
Barbeau, Edward
Seraj, Samer
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, 2013, 19 (01) : 1 - 13
[37] Representation of odd integers as the sum of one prime, two squares of primes and powers of 2
Li, Hongze
ACTA ARITHMETICA, 2007, 128 (03) : 223 - 233
[38] Representation of odd integers as the sum of one prime, two squares of primes and powers of 2
Liu, T
ACTA ARITHMETICA, 2004, 115 (02) : 97 - 118
[39] WHICH INTEGERS ARE REPRESENTABLE AS THE PRODUCT OF THE SUM OF 3 INTEGERS WITH THE SUM OF THEIR RECIPROCALS
BREMNER, A
GUY, RK
NOWAKOWSKI, RJ
MATHEMATICS OF COMPUTATION, 1993, 61 (203) : 117 - 130
[40] EXPRESSING-N AS A SUM OF 2 SQUAREFREE POSITIVE INTEGERS RELATIVELY PRIME TO N
HERZOG, J
SMITH, PR
STONG, R
AMERICAN MATHEMATICAL MONTHLY, 1992, 99 (06): : 573 - 575

← 1 2 3 4 5 →