automorphic form वाक्य

उदाहरण वाक्य

1. Functoriality is the conjecture that automorphic forms on different groups should be related in terms of their-groups.
2. Now suppose we are given a family of automorphic forms with a complex parameter " s ".
3. Further, the automorphic forms for a given factor of automorphy correspond to sections of the corresponding line bundle.
4. The theory is particularly well developed for symmetric spaces and provides a theory of automorphic forms ( discussed below ).
5. This is almost possible and leads to a description of all automorphic forms in terms of these constructs and cusp forms.
6. It requires the existence of an automorphic form, starting with an object that ( very abstractly ) lies in a category of motives.
7. Automorphic forms are a generalization of modular forms to more general analytic functions, perhaps of several complex variables, with similar transformation properties.
8. The Kuznetsov or " relative trace " formula connects Kloosterman sums at a deep level with the spectral theory of automorphic forms.
9. Orbital integrals are an important technical tool in the theory of automorphic forms, where they enter into the formulation of various trace formulas.
10. Modular forms are automorphic forms defined over the groups adelic approach as a way of dealing with the whole family of congruence subgroups at once.