A large sieve inequality of Elliott-Montgomery-Vaughan type for automorphic forms and two applications
DATE:2007-10-23
A large sieve inequality of Elliott-Montgomery-Vaughan type for automorphic forms and two applications
Topic:
A large sieve inequality of Elliott-Montgomery-Vaughan type for automorphic forms and two applications
Speaker:
Jie Wu, Université Henri Poincaré (Nancy 1), France
Venue:
Room 309
Time:
14:00-15:00, Tue, 20 Nov.
Abstract:
In this talk, we shall present a large sieve inequality of Elliott-Montgomery-Vaughan type for Fourier coefficients of newforms. As applications, we shall give a significant improvement on the principal result of Duke & Kowalski on Linnik's problem for modular forms in the case of squarefree levels, and prove an upper bound result which is part of the first Montgomery-Vaughan conjecture in the context of automorphic L-functions. All are welcome!
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