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- W2086156776 abstract "Let K be an imaginary quadratic field with class number one and let p C O k be a degree one prime ideal of norm p not dividing 6d k . In this paper we generalize an algorithm of Schoof to compute the class numbers of ray class fields K p 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 phenomenon where p divides the class number of K p . This is a counterexample to the elliptic analogue of Vandiver's conjecture." @default.
- W2086156776 created "2016-06-24" @default.
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- W2086156776 date "2011-05-01" @default.
- W2086156776 modified "2023-09-27" @default.
- W2086156776 title "Class numbers of ray class fields of imaginary quadratic fields" @default.
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- W2086156776 doi "https://doi.org/10.1090/s0025-5718-2010-02413-5" @default.
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