automorphic वाक्य
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- The Kuznetsov trace formula was found by Kuznetsov while studying the growth of weight zero automorphic functions.
- Equivalently, an automorphic form is a function whose divisor is invariant under the action of G.
- The " factor of automorphy " for the automorphic form f is the function j.
- An " automorphic function " is an automorphic form for which j is the identity.
- An " automorphic function " is an automorphic form for which j is the identity.
- Base 30 is the first radix with three distinct prime factors and has 8 sequences of automorphic numbers.
- In another direction the classical topic of modular forms has blossomed into the modern theory of automorphic forms.
- Automorphic forms are a generalization of the idea of periodic functions in Euclidean space to general topological groups.
- For example, representation theory is used in the modern approach to gain new results about automorphic forms.
- Originally defined for the modular group, Eisenstein series can be generalized in the theory of automorphic forms.
- Coxeter's notation includes double square bracket notation, to express automorphic symmetry within a Coxeter diagram.
- Not all regular equivalences are necessarily automorphic or structural; and not all automorphic equivalences are necessarily structural.
- Not all regular equivalences are necessarily automorphic or structural; and not all automorphic equivalences are necessarily structural.
- Casselman specializes in representation theory, automorphic forms, geometric combinatorics, and the structure of algebraic groups.
- Functoriality is the conjecture that automorphic forms on different groups should be related in terms of their-groups.
- Now suppose we are given a family of automorphic forms with a complex parameter " s ".
- Further, the automorphic forms for a given factor of automorphy correspond to sections of the corresponding line bundle.
- Base 6 is the first radix with non-trivial automorphic numbers and base 15 the first such odd radix.
- Examples of primitive functions include the Riemann zeta function and cuspidal automorphic representations that satisfy the Ramanujan conjecture are primitive.
- M . Ram Murty showed in that conjectures 1 and 2 imply the automorphic as predicted by the Langlands conjectures.
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