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

[31] On Waring's problem with polynomial summands
Yu, HB
[J]. ACTA ARITHMETICA, 1996, 76 (02) : 131 - 144
[32] Waring's Problem in Prime Numbers
Burlakova, E. A.
[J]. MOSCOW UNIVERSITY MATHEMATICS BULLETIN, 2008, 63 (05) : 216 - 217
[33] Waring’s problem with digital restrictions
Jörg M. Thuswaldner
Robert F. Tichy
[J]. Israel Journal of Mathematics, 2005, 149 : 317 - 344
[34] On Waring's problem for fourth powers
Davenport, H
[J]. ANNALS OF MATHEMATICS, 1939, 40 : 731 - 747
[35] On waring's problem and its generalization
Dickson, LE
[J]. ANNALS OF MATHEMATICS, 1936, 37 : 293 - 316
[36] On Waring's problem for fifth powers
Hua, LK
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1939, 45 : 144 - 160
[37] Waring's Problem for Pyramidal Numbers
邓越凡
杨振宁
[J]. Science China Mathematics, 1994, (03) : 277 - 283
[38] The Asymptotic Formula in Waring's Problem
Wooley, Trevor D.
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2012, 2012 (07) : 1485 - 1504
[39] Waring's problem for sixteenth powers
Li, HZ
[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS PHYSICS ASTRONOMY, 1996, 39 (01): : 56 - 64
[40] On Waring's problem for odd powers
James, RD
[J]. PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1934, 37 : 257 - 291

← 1 2 3 4 5 →