期刊名称:International Journal of Mathematics and Mathematical Sciences
印刷版ISSN:0161-1712
电子版ISSN:1687-0425
出版年度:2007
卷号:2007
DOI:10.1155/2007/37853
出版社:Hindawi Publishing Corporation
摘要:For a prime p, we obtain an upper bound on the discrepancy of
fractions r/p, where r runs through all of roots modulo p of all monic
univariate polynomials of degree d whose vector of coefficients belongs
to a d-dimensional box ℬ. The bound is nontrivial starting with boxes
ℬ of size |ℬ|≥pd/2