On totally real cubic fields whose unit groups are of type {$\{\theta+r,\theta+s\}$}
نویسندگان
چکیده
منابع مشابه
On Totally Real Cubic Fields with Discriminant D < 107
The authors have constructed a table of the 592923 nonconjugate totally real cubic number fields of discriminant D < 107, thereby extending the existing table of fields with D < 5 x 105 constructed by Ennola and Turunen [4]. Each field is given by its discriminant and the coefficients of a generating polynomial. The method used is an improved version of the method developed in [8]. The article ...
متن کاملComputing Stark units for totally real cubic fields
A method for computing provably accurate values of partial zeta functions is used to numerically confirm the rank one abelian Stark Conjecture for some totally real cubic fields of discriminant less than 50000. The results of these computations are used to provide explicit Hilbert class fields and some ray class fields for the cubic extensions.
متن کاملOn Totally Real Hilbert - Speiser Fields of Type
Let G be a finite abelian group. A number field K is called a Hilbert-Speiser field of type G if for every tame G-Galois extension L/K has a normal integral basis, i.e., the ring of integers OL is free as an OKG-module. Let Cp denote the cyclic group of prime order p. We show that if p ≥ 7 (or p = 5 and extra conditions are met) and K is totally real with K/Q ramified at p, then K is not Hilber...
متن کاملFinite groups all of whose proper centralizers are cyclic
A finite group $G$ is called a $CC$-group ($Gin CC$) if the centralizer of each noncentral element of $G$ is cyclic. In this article we determine all finite $CC$-groups.
متن کاملRegularized Theta Lifts for Orthogonal Groups over Totally Real Fields
We define a regularized theta lift for orthogonal groups over totally real fields generalizing work of Borcherds. The lift takes harmonic ‘Whittaker forms’ to automorphic Green functions and weakly holomorphic Whittaker forms to meromorphic modular forms on orthogonal groups with zeros and poles supported on special divisors.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1998
ISSN: 0386-2194
DOI: 10.3792/pjaa.74.156