WARING PROBLEM FOR BINARY FORMS

被引：13

作者：

HELMKE, U

机构：

[1] Department of Mathematics, University of Regensburg

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 1992年 / 80卷 / 01期

关键词：

D O I：

10.1016/0022-4049(92)90067-P

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider the classical problem of decomposing a binary form of degree d into a sum of dth powers of linear forms. The problem is solved for arbitrary binary forms with coefficients in a real or algebraically closed field. Our analysis is based on continued fractions and Pade approximation theory. A connection with partial realizations in control theory is made.

引用

页码：29 / 45

页数：17

共 50 条

[21] On a generalized Waring problem
Hua, LK
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1937, 43 : 161 - 182
[22] On waring's problem
Vinogradow, I
ANNALS OF MATHEMATICS, 1935, 36 : 395 - 405
[23] Waring problem with factorials
Garaev, MZ
Luca, F
Shparlinski, IE
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2005, 71 (02) : 259 - 264
[24] ON WARING PROBLEM FOR CUBES
VAUGHAN, RC
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1985, 301 (06): : 253 - 255
[25] Matrix Waring problem
Kishore, Krishna
LINEAR ALGEBRA AND ITS APPLICATIONS, 2022, 646 : 84 - 94
[26] Fourier coefficients of half-integral weight cusp forms and Waring's problem
Waibel, Fabian
RAMANUJAN JOURNAL, 2018, 47 (01): : 185 - 200
[27] Fourier coefficients of half-integral weight cusp forms and Waring’s problem
Fabian Waibel
The Ramanujan Journal, 2018, 47 : 185 - 200
[28] HERMITE REDUCTION AND A WARING'S PROBLEM FOR INTEGRAL QUADRATIC FORMS OVER NUMBER FIELDS
Chan, Wai Kiu
Icaza, Maria Ines
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2021, 374 (04) : 2967 - 2985
[29] On Waring's problem for cubes
Davenport, H
ACTA MATHEMATICA, 1939, 71 (01) : 123 - 143
[30] The Hilbert solution of the Waring problem
Hausdorff, F
MATHEMATISCHE ANNALEN, 1909, 67 : 301 - 305

← 1 2 3 4 5 →