Construction of normal bases by special values of Hilbert modular functions
نویسندگان
چکیده
منابع مشابه
Construction of a Normal Basis by Special Values of Siegel Modular Functions
We consider certain abelian extensions K, k1 of Q(e2πi/5) and show by a method of Shimura that a normal basis of K over k1 can be given by special values of Siegel modular functions.
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There has been important progress in constructing units and Sunits associated to curves of genus 2 or 3. These approaches are based mainly on the consideration of properties of Jacobian varieties associated to hyperelliptic curves of genus 2 or 3. In this paper, we construct a unit group of the ray class field k6 of Q(exp(2πi/5)) modulo 6 with full rank by special values of Siegel modular funct...
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ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1997
ISSN: 0386-2194
DOI: 10.3792/pjaa.73.42