Adjective:

স্বয়ংপোষিত,

automorphic's Usage Examples:

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.

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.

1970), it seeks to relate Galois groups in algebraic number theory to automorphic forms and representation theory of algebraic groups over local fields.

web of conjectures and results connecting representation theory and automorphic forms to the study of Galois groups in number theory, for which he received.

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.

Euhedral crystals (also known as idiomorphic or automorphic crystals) are those that are well-formed, with sharp, easily recognised faces.

are projective linear transformations (also known as homographies) and automorphic collineations.

theory and the Erlangen program, has an impact in number theory via automorphic forms and the Langlands program.

introduced by Petersson (1930), is a generalization to other modular forms or automorphic forms.

pointed out that instead of automorphic forms one can consider automorphic perverse sheaves or automorphic D-modules.

that automorphic forms are in a sense functorial in the group G, when k is a global field.

It is not exactly G with respect to which automorphic forms.

Modular form theory is a special case of the more general theory of automorphic forms, and therefore can now be seen as just the most concrete part of.

equivalence between motivic and automorphic L-functions postulated in the Langlands program can be tested.

In the mathematical theory of automorphic forms, the fundamental lemma relates orbital integrals on a reductive group over a local field to stable orbital.

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.

It states that the nontrivial zeros of all automorphic L-functions lie on the critical line 1 2 + i t {\displaystyle {\frac.

mathematics, the Langlands–Shahidi method provides the means to define automorphic L-functions in many cases that arise with connected reductive groups.

connects Kloosterman sums at a deep level with the spectral theory of automorphic forms.

American mathematician, working in automorphic forms.

He is considered one of the founders of the theory of automorphic representations and their associated.