Spelling suggestions: "subject:"imaginary quadratic fields"" "subject:"imaginarys quadratic fields""
1 |
Class Numbers of Ray Class Fields of Imaginary Quadratic FieldsKucuksakalli, Omer 01 May 2009 (has links)
Let K be an imaginary quadratic field with class number one and let [Special characters omitted.] be a degree one prime ideal of norm p not dividing 6 d K . In this thesis we generalize an algorithm of Schoof to compute the class number of ray class fields [Special characters omitted.] heuristically. We achieve this by using elliptic units analytically constructed by Stark and the Galois action on them given by Shimura's reciprocity law. We have discovered a very interesting phenomena where p divides the class number of [Special characters omitted.] . This is a counterexample to the elliptic analogue of a well-known conjecture, namely the Vandiver's conjecture.
|
Page generated in 0.0817 seconds