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The discriminant problem for Artin-Schreier extensions: Explicit results
Finite Fields and Their Applications ( IF 1.2 ) Pub Date : 2020-09-03 , DOI: 10.1016/j.ffa.2020.101740 Jeffrey Lin Thunder
中文翻译:
Artin-Schreier扩展的判别问题:明确的结果
更新日期:2020-09-03
Finite Fields and Their Applications ( IF 1.2 ) Pub Date : 2020-09-03 , DOI: 10.1016/j.ffa.2020.101740 Jeffrey Lin Thunder
Given a global function field K of characteristic p, for all effective divisors in the divisor group of K we count the number of cyclic extensions of degree p where the relative discriminant .
中文翻译:
Artin-Schreier扩展的判别问题:明确的结果
对于所有有效的除数,给定具有特征p的全局函数字段K在K的除数组中,我们计算循环扩展的数量p的度数,相对判别式。