21. The Kuznetsov trace formula was found by Kuznetsov while studying the growth of weight zero automorphic functions. 22. Equivalently, an automorphic form is a function whose divisor is invariant under the action of G. 23. The " factor of automorphy " for the automorphic form f is the function j. 24. An " automorphic function " is an automorphic form for which j is the identity. 25. An " automorphic function " is an automorphic form for which j is the identity. 26. Base 30 is the first radix with three distinct prime factors and has 8 sequences of automorphic numbers. 27. In another direction the classical topic of modular forms has blossomed into the modern theory of automorphic forms. 28. Automorphic forms are a generalization of the idea of periodic functions in Euclidean space to general topological groups.29. For example, representation theory is used in the modern approach to gain new results about automorphic forms. 30. Originally defined for the modular group, Eisenstein series can be generalized in the theory of automorphic forms.
