Automorphic forms and algebraic extensions of number fields
نویسندگان
چکیده
منابع مشابه
Overconvergent Algebraic Automorphic Forms
I present a general theory of overconvergent p-adic automorphic forms and eigenvarieties for connected reductive algebraic groups G whose real points are compact modulo centre, extending earlier constructions for forms of GLn due to Buzzard, Chenevier and Yamagami. This leads to some new phenomena, including the appearance of intermediate spaces of “semiclassical” automorphic forms; this gives ...
متن کاملProcyclic Galois Extensions of Algebraic Number Fields
6 1 Iwasawa’s theory of Zp-extensions 9 1.
متن کاملHybrid Bounds for Automorphic Forms on Ellipsoids over Number Fields
We prove upper bounds for Hecke-Laplace eigenfunctions on certain Riemannian manifolds X of arithmetic type, uniformly in the eigenvalue and the volume of the manifold. The manifolds under consideration are d-fold products of 2-spheres or 3-spheres, realized as adelic quotients of quaternion algebras over totally real number fields. In the volume aspect we prove a (“Weyl-type”) saving of vol(X)...
متن کاملHermite Constant and Extreme Forms for Algebraic Number Fields
In this paper we consider a generalization to algebraic number fields of the classical Hermite constant γ n . For this constant we extend the well-known Minkowski bound and study the notion of extreme forms in this setting. Let us briefly recall the definition of Hermite’s constant. Let (a ij ) be a positive definite symmetric real n¬n matrix and let f(x " ,... ,x n ) ̄3 ij a ij x i x j be its a...
متن کاملToroidal Automorphic Forms for Some Function Fields
Zagier introduced toroidal automorphic forms to study the zeros of zeta functions: an automorphic form on GL2 is toroidal if all its right translates integrate to zero over all nonsplit tori in GL2, and an Eisenstein series is toroidal if its weight is a zero of the zeta function of the corresponding field. We compute the space of such forms for the global function fields of class number one an...
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: 1975
ISSN: 0386-2194
DOI: 10.3792/pja/1195518624