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