Adjective:

ଆତ୍ମନିର୍ଭରଶୀଳ |,

automorphic's Usage Examples:

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.

This includes Rankin–Selberg products for cuspidal automorphic representations of general linear groups.

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

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.

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.

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

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

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

The former case is said to be idiomorphic (or automorphic); the latter is xenomorphic.

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

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

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

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