Reducibility of cubic polynomials mod p

被引:0
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作者
Ruppert, WM [1 ]
机构
[1] UNIV ERLANGEN NURNBERG,INST MATH,D-91054 ERLANGEN,GERMANY
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中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
It is shown that an absolutely irreducible homogeneous cubic polynomial f is an element of Z[x(0), x(1), x(2)] is also absolutely irreducible mod p if p > 1248H(6) where H is the height of f. Module a general number theoretic conjecture an example shows that the result is best possible. (C) 1996 Academic Press, Inc.
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页码:198 / 206
页数:9
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