Search for "Automorphic forms" in article titles:

1. Fourier coefficients of automorphic forms: Many of the applications of automorphic forms (cf. also Automorphic form) involve their Fourier coefficients. (Mathematics) [100%] 2023-10-09

Suggestions for article titles:

1. Automorphic form: A meromorphic function on a bounded domain $ D $ of the complex space $ \mathbf C ^ {n} $ that, for some discrete group of transformations $ \Gamma $ operating on this domain, satisfies an equation: $$ f ( \gamma ( x ) ) = j _ \gamma ^ {-m} ( x ) f ( x ... (Mathematics) [100%] 2023-04-18
2. Automorphic form: In harmonic analysis and number theory, an automorphic form is a well-behaved function from a topological group G to the complex numbers (or complex vector space) which is invariant under the action of a discrete subgroup \displaystyle{ \Gamma \subset ... (Type of generalization of periodic functions in Euclidean space) [100%] 2023-06-30 [Lie groups] [Automorphic forms]...
3. Automorphism: In mathematics, an automorphism is an isomorphism from a mathematical object to itself. It is, in some sense, a symmetry of the object, and a way of mapping the object to itself while preserving all of its structure. (Isomorphism of an object to itself) [77%] 2024-01-03 [Morphisms] [Abstract algebra]...
4. Automorphism: An isomorphism (isomorphic mapping) of a system of objects onto itself. The totality of all automorphisms of an arbitrary algebraic system forms a group, and the study of this group is an important and powerful tool in the study of ... (Mathematics) [77%] 2023-01-26
5. Automorphism: In algebra, an automorphism of an abstract algebraic structure is an isomorphism of the structure with itself, that is, a permutation of the underlying set which respects all algebraic operations. The automorphisms typically form a group, the automorphism group of ... [77%] 2022-07-01
6. Automorphic number: In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base \displaystyle{ b }[/math] whose square "ends" in the same digits as the number itself. Given a number base \displaystyle ... [66%] 2023-11-21 [Base-dependent integer sequences] [Mathematical analysis]...
7. Automorphic function: In mathematics, an automorphic function is a function on a space that is invariant under the action of some group, in other words a function on the quotient space. Often the space is a complex manifold and the group is ... [66%] 2022-07-16 [Automorphic forms] [Discrete groups]...
8. Automorphic function: A meromorphic function of several complex variables that is invariant under some discrete group of transformations $ \Gamma $ of analytic transformations of a given complex manifold $ M $ : $$ f ( \gamma ( x ) ) = f ( x ) , x \in M , \gamma \in \Gamma . $$ Automorphic functions are ... (Mathematics) [66%] 2023-10-24
9. Automorphic factor: In mathematics, an automorphic factor is a certain type of analytic function, defined on subgroups of SL(2,R), appearing in the theory of modular forms. The general case, for general groups, is reviewed in the article 'factor of automorphy ... [66%] 2023-11-17 [Modular forms]
10. Automorphic function: In mathematics, an automorphic function is a function on a space that is invariant under the action of some group, in other words a function on the quotient space. Often the space is a complex manifold and the group is ... (Mathematical function on a space that is invariant under the action of some group) [66%] 2024-05-23 [Automorphic forms] [Discrete groups]...
11. Automorphic number: In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base b {\displaystyle b} whose square "ends" in the same digits as the number itself. Given a number base b ... [66%] 2024-06-12 [Arithmetic dynamics] [Base-dependent integer sequences]...
12. Sastry automorphism: In mathematics, a Sastry automorphism, is an automorphism of a field of characteristic 2 satisfying some rather complicated conditions related to the problem of embedding Ree groups of type F4 into Chevalley groups of type F4. They were introduced by ... [54%] 2023-06-24 [Finite groups] [Finite fields]...
13. Contragredient automorphism: to an automorphism of a right module over a ring The automorphism of the left -module (* denotes taking the dual or adjoint module) that is adjoint to the inverse automorphism to . More generally, if is an automorphism between a right ... (Mathematics) [54%] 2023-10-19
14. Derived automorphism: in ergodic theory A transformation $ T _ {X} $ defined by using an automorphism $ T $ of a measure space $ ( M , \mu ) $ and a measurable subset $ X \subset M $ of positive measure such that almost-all points of $ X $ return to $ X ... (Mathematics) [54%] 2023-10-17
15. Frobenius automorphism: An element of a Galois group of a special type. It plays a fundamental role in class field theory. (Mathematics) [54%] 2023-10-27
16. Regular automorphism: An automorphism $ \phi $ of a group $ G $ such that $ g \phi \neq g $ for every non-identity element $ g $ of $ G $( that is, the image of every non-identity element of a group under a regular automorphism must be different ... (Mathematics) [54%] 2022-12-30
17. Kolmogorov automorphism: In mathematics, a Kolmogorov automorphism, K-automorphism, K-shift or K-system is an invertible, measure-preserving automorphism defined on a standard probability space that obeys Kolmogorov's zero–one law. All Bernoulli automorphisms are K-automorphisms (one says they ... [54%] 2023-09-15 [Ergodic theory]
18. Automorphism group: In mathematics, the automorphism group of an object X is the group consisting of automorphisms of X under composition of morphisms. For example, if X is a finite-dimensional vector space, then the automorphism group of X is the group ... (Mathematical group formed from the automorphisms of an object) [54%] 2024-02-13 [Group automorphisms]
19. Aperiodic automorphism: of a measure space An automorphism $T$ of a measure space such that its periodic points, i.e. the points $x$ for which $T^k(x) = x$ for some $k>0$, form a set of measure zero. (Mathematics) [54%] 2022-10-23