Examples of using Automorphic in English and their translations into Swedish
{-}
-
Colloquial
-
Official
-
Medicine
-
Ecclesiastic
-
Ecclesiastic
-
Official/political
-
Computer
-
Programming
-
Political
An automorphic factor must satisfy: 1.
In mathematics, Siegel modular forms are a major type of automorphic form.
Automorphic factors and other generalizations.
gave surveys of automorphic L-functions.
Automorphic forms on the Jacobi group are called Jacobi forms.
Originally defined for the modular group, Eisenstein series can be generalized in the theory of automorphic forms.
Automorphic L-functions should have the following properties which have been proved in some cases
By the fundamental theorem of projective geometry a reciprocity is the composition of an automorphic function of K
An automorphic factor of weight k is a function ν: Γ× H→ C{\displaystyle\ nu:\Gamma\times\mathbb{H}\to\mathbb{C}} satisfying the four properties given below.
In mathematics, the Langlands-Shahidi method provides the means to define automorphic L-functions in many cases that arise with connected reductive groups over a number field.
One of the aims of proposed non-abelian class field theory is to incorporate the complex-analytic nature of Artin L-functions into a larger framework, such as is provided by automorphic forms and the Langlands program.
In mathematics, an automorphic factor is a certain type of analytic function, defined on subgroups of SL(2,R),
Around the same time Robert Langlands remarked that Shimura varieties form a natural realm of examples for which equivalence between motivic and automorphic L-functions postulated in the Langlands program can be tested.
In mathematics, a Jacobi form is an automorphic form on the Jacobi group,
a product of analogous automorphic L-functions.
Automorphic forms realized in the cohomology of a Shimura variety are more amenable to study than general automorphic forms; in particular, there is a construction attaching Galois representations to them.
is any meromorphic function on D, then one obtains an automorphic function by averaging over Γ:∑ γ∈ Γ H( γ( z)).{\displaystyle\sum_{\gamma\in\Gamma}H(\gamma(z)).}
Every automorphic factor may be written as ν( γ,
In mathematics, the Arthur conjectures are some conjectures about automorphic representations of reductive groups over the adeles
In mathematics, an automorphic L-function is a function L(s, π, r) of a complex variable s, associated to an automorphic representation π of a reductive group G over a global field