- automorphic extension
- мат.автоморфное продолжение
English-Russian scientific dictionary. 2008.
English-Russian scientific dictionary. 2008.
Automorphic form — In mathematics, the general notion of automorphic form is the extension to analytic functions, perhaps of several complex variables, of the theory of modular forms. It is in terms of a Lie group G, to generalise the groups SL2(R) or PSL2 (R) of… … Wikipedia
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Langlands group — In representation theory, a branch of mathematics, the Langlands (dual) group L G (also called L group) is a group associated to a reductive group G over a field k that controls the representation theory of G . It is an extension of the absolute… … Wikipedia
Converse theorem — In the mathematical theory of automorphic forms, a converse theorem gives sufficient conditions for a Dirichlet series to be the Mellin transform of a modular form. More generally a converse theorem states that a representation of an algebraic… … Wikipedia
Langlands program — The Langlands program is a web of far reaching and influential conjectures that connect number theory and the representation theory of certain groups. It was proposed by Robert Langlands beginning in 1967. Connection with number theory The… … Wikipedia
Artin L-function — In mathematics, an Artin L function is a type of Dirichlet series associated to a linear representation ρ of a Galois group G . These functions were introduced in the 1923 by Emil Artin, in connection with his research into class field theory.… … Wikipedia
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Artin reciprocity law — The Artin reciprocity law, established by Emil Artin in a series of papers (1924; 1927; 1930), is a general theorem in number theory that forms a central part of the global class field theory.[1] The term reciprocity law refers to a long line of… … Wikipedia
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Unifying theories in mathematics — There have been several attempts in history to reach a unified theory of mathematics. Some of the greatest mathematicians have expressed views that the whole subject should be fitted into one theory.Historical perspectiveThe process of… … Wikipedia