Some New Results in Waring's Problem

被引：0

作者：

Meng Zaizhao

机构：

来源：

Acta Mathematica Sinica,English Series | 1996年 / 03期

关键词：

Waring’s problom; Circle method; Iterative method; Difference;

D O I：

暂无

中图分类号：

O156 [数论];

学科分类号：

0701 ; 070101 ;

摘要：

Let G(k) denote the smallest number s such that every sufficiently large naturalnumber is the sum of, at most, s k-th powers of natural numbers. In this paper, we give new boundsfor G(12), G(13) and G(19).

引用

页码：262 / 267

页数：6

共 50 条

[1] Some New Results in Waring’s Problem
蒙在照
[J]. 数学进展, 1995, (06) : 567 - 568
[2] Some results on Waring's problem for smaller powers
Hua, LK
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES DE L URSS, 1938, 18 : 527 - 528
[3] Some New Results in Waring’s Prblem
蒙在照
[J]. 数学进展, 1995, (01) : 95 - 95
[4] New results for the number g(n) in Waring's problem
Zuckerman, HS
[J]. AMERICAN JOURNAL OF MATHEMATICS, 1936, 58 : 545 - 552
[5] On Waring's problem: some consequences of Golubeva's method
Wooley, Trevor D.
[J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2013, 88 : 699 - 715
[6] ON WARING PROBLEM - SOME REFINEMENTS
VAUGHAN, RC
WOOLEY, TD
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1991, 63 : 35 - 68
[7] On waring's problem
Vinogradow, I
[J]. ANNALS OF MATHEMATICS, 1935, 36 : 395 - 405
[8] On Waring's problem
Landau, E
[J]. MATHEMATISCHE ZEITSCHRIFT, 1922, 12 : 219 - 247
[9] A new evaluation of g (n) in Waring's problem
Artjuchov, MM
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES DE L URSS, 1935, 9 : 247 - 250
[10] A new evaluation of in G(n) Waring's problem
Vinogradow, I
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES DE L URSS, 1934, 5 : 249 - 253

← 1 2 3 4 5 →