WARING PROBLEM FOR THE RING OF POLYNOMIALS

被引:31
作者
NEWMAN, DJ [1 ]
SLATER, M [1 ]
机构
[1] CUNY CITY COLL,NEW YORK,NY 10031
基金
美国国家科学基金会;
关键词
D O I
10.1016/0022-314X(79)90027-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We investigate the question of which polynomials are not representable as the sum of few" powers of polynomials. In particular for Waring's problem over the ring of polynomials we show that there exist polynomials which are not the sum of fewer than n 1 2nth powers of polynomials. © 1979."
引用
收藏
页码:477 / 487
页数:11
相关论文
共 4 条
[1]  
Hardy, Wright, An Introduction to the Theory of Numbers, pp. 325-328, (1960)
[2]  
Hayman, Research Problems in Function Theory, (1967)
[3]  
Klamkin, Newman, On the numbers of distinct zeroes of polynomials, Amer. Math. Monthly, 66, 6, (1959)
[4]  
Molluzzo, Doctoral Thesis, (1972)