Примери за използване на Automorphic на Английски и техните преводи на Български
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Are called automorphic numbers.
Automorphic functions, Dirichlet series.
He wrote papers on algebraic functions and automorphic functions.
He developed a theory of automorphic functions, connecting algebraic and geometric results in his important 1884 book on the icosahedron.
In particular he studied linear groups and groups of automorphic functions.
In particular he studied automorphic functions in several complex variables, Siegel's modular functions, which have led to a much deeper understanding.
Uniformization of analytic relations by means of automorphic functions.
However Poincaré published an outline of his theory of automorphic functions during 1881, which resulted in a friendly rivalry between the two men.
As soon as he had completed his doctoral work,Langlands began to work on automorphic forms.
However Poincaré published an outline of his theory of automorphic functions in 1881, which led to a friendly rivalry between the two men.
This led him to functions he named Fuchsian functions after Lazarus Fuchs butwere later named automorphic functions.
In fact the use of scattering theory for automorphic functions was studied by Lax and Phillips in Scattering theory for automorphic functions(1976).
In May 1968 Arf andLanglands visited Ege University to deliver talks on The Cartan-Dieudonné Theorem and Automorphic Forms.
Selberg's trace formula,Selberg's zeta function,… automorphic functions, Dirichlet series.
In a remarkable paper he applied recent results by Harish-Chandra to obtain a formula for the dimension of certain spaces of automorphic forms.
However Poincaré began publishing an outline of his theory of automorphic functions in 1881 and, as explained in[13], this led to a competition between the two:-.
In a correspondence between Klein and Poincaré many deep ideas were exchanged andthe development of the theory of automorphic functions greatly benefited.
This function is an early example of an automorphic function and in this work Schwarz was looking at ideas which led Klein and Poincaré to develop the theory of automorphic functions.
Path-blazing work and extraordinary insights in the fields of number theory, automorphic forms, and group representation.
Before the age of 30 he developed the concept of automorphic functions which are functions of one complex variable invariant under a group of transformations characterised algebraically by ratios of linear terms.
A collection of far-reaching and uncannily accurate conjectures relating number theory, automorphic forms, and representation theory.
One book which does not seem to be based on a lecture course is Automorphic forms on SL(R) which Borel himself says would have been better titled"Introduction to some aspects of the analytic theory of automorphic forms on SL(R) and the upper half-plane X.".
This was the origin of the mapping of a domain bounded by three disjoint circles which provides an example of an automorphic function with a Cantor set boundary.
Langlands' astounding insight has provided a whole generation of mathematicians working in automorphic forms and representation theory with a seemingly unlimited expanse of deep, interesting, and above all approachable problems to work away on.
Extraordinary vision that has brought the theory of group representations into a revolutionary new relationship with the theory of automorphic forms and number theory.
With Robert Fricke who came to Leipzig in 1884,Klein wrote a major four volume classic on automorphic and elliptic modular functions produced over the following 20 years.
Klein's principal works were devoted to non-Euclidean geometry, the theory of continuous groups, the theory of algebraic equations, the theory of elliptic functions,and the theory of automorphic functions.
Atle Selberg was a Norwegian mathematician known for his work in analytic number theory,and in the theory of automorphic forms, in particular bringing them into relation with spectral theory….
It was Fuchs' work on this inverse function which led Poincaré to introduce what he called a Fuchsian group, anduse this as a fundamental concept in the development of the theory of automorphic functions.
He received the Cole Prize in Number Theory from the American Mathematical Society in 1982 for his pioneering work on automorphic forms Eisenstein series, and product formulae.