Nombres de Weil, sommes de Gauss et annulateurs Galoisiens Do, Thong Nguyen Quang; Nicolas, Vésale

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Authors
Do, Thong Nguyen Quang ; Nicolas, Vésale
Appears In
American Journal of Mathematics
Subjects
Theorems (Mathematics) -- Research; mathematics - number theory; 11r23
Audience
Academic
Summary
For an abelian number field K containing a primitive pth root of unity (p an odd prime) and satisfying certain technical conditions, we parametrize the [Z.sub.p] [G(K/Q)]-annihilators of the "minus" part [A.sup.-.sub.K] of the p-class group by means of modules of Jacobi sums. Using a reflection theorem and Bloch-Kato's reciprocity law, we then determine the Fitting ideal of the "plus" part [A.sup.+.sub.K] in terms of "twisted" Gauss sums.
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http://trove.nla.gov.au/work/197442
Work ID
197442

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