automorphic in a sentence

Examples

1. Coxeter's notation includes double square bracket notation, to express automorphic symmetry within a Coxeter diagram.
2. Not all regular equivalences are necessarily automorphic or structural; and not all automorphic equivalences are necessarily structural.
3. Not all regular equivalences are necessarily automorphic or structural; and not all automorphic equivalences are necessarily structural.
4. Casselman specializes in representation theory, automorphic forms, geometric combinatorics, and the structure of algebraic groups.
5. Functoriality is the conjecture that automorphic forms on different groups should be related in terms of their-groups.
6. Now suppose we are given a family of automorphic forms with a complex parameter " s ".
7. Further, the automorphic forms for a given factor of automorphy correspond to sections of the corresponding line bundle.
8. Base 6 is the first radix with non-trivial automorphic numbers and base 15 the first such odd radix.
9. Examples of primitive functions include the Riemann zeta function and cuspidal automorphic representations that satisfy the Ramanujan conjecture are primitive.
10. M . Ram Murty showed in that conjectures 1 and 2 imply the automorphic as predicted by the Langlands conjectures.