Explicit decomposition of a rational prime in a cubic field
نویسندگان
چکیده
منابع مشابه
A Clean Approach to Rational Cubic Residues
In 1958 E. Lehmer found an explicit description of those primes p for which a given prime q is a cubic residue. Her result essentially states that if one writes 4p = L + 27M, then q is a cubic residue if and only if M L ≡ t 2 − 1 t3 − 9t mod q for some integer t. In this paper we demonstrate that a similar result may be obtained for cubic nonresidues, yielding a cubic character for fixed p that...
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In 1958 E. Lehmer found an explicit description of those primes p for which a given prime q is a cubic residue. Her result states that if one writes 4p = L + 27M, then q is a cubic residue if and only if M/L ≡ (t − 1)/(t − 9t) mod q for some integer t. Recently, Z. Sun has stated a similar result for cubic nonresidues which follows from several corollaries appearing in an earlier paper of his. ...
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عنوان ژورنال:
- Int. J. Math. Mathematical Sciences
دوره 2006 شماره
صفحات -
تاریخ انتشار 2006