NONSTANDARD ARITHMETIC OF HILBERT SUBSETS

被引：1
|
作者：
YASUMOTO, M
机构：
[1] Department of Mathematics, College of General Education, Nagoya University, Chikusa-ku, Nagoya
来源：
ANNALS OF PURE AND APPLIED LOGIC | 1991年 / 52卷 / 1-2期
关键词：
D O I：
10.1016/0168-0072(91)90046-O
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let f(X, Y) member-of Z[X, Y] be irreducible. We give a condition that there are only finitely many integers n member-of Z such that f(n, Y) is reducible and we give a bound for such integers. We prove a similar result for polynomials with coefficients in polynomial rings. Both results are proved by, so-called, nonstandard arithmetic.
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页码：195 / 202
页数：8
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