对角线上单位根消失的对称多项式
Symmetric polynomials vanishing on the diagonals shifted by roots of unity
摘要：
对于一对r>1的正整数（k，r），使得k+1与r-1互素，我们描述了变量为x_1，.的对称多项式空间，x_n，其在形式x_i=tq^{s_i} x_{i-1}的余维数k的所有对角线处为零，i=2，.，k+1，其中t和q是k+1和r-1阶单位的原根。
英文摘要：
For a pair of positive integers (k,r) with r>1 such that k+1 and r-1 are relatively prime, we describe the space of symmetric polynomials in variables x_1,...,x_n which vanish at all diagonals of codimension k of the form x_i=tq^{s_i}x_{i-1}, i=2,...,k+1, where t and q are primitive roots of unity of orders k+1 and r-1.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
