Leírás
We discuss recent work on bilinear forms in m, n with the classical Kloosterman sums S(m, n; c). Our results apply for general moduli c and save c^{-1/32} for sums of square-root length, improving the savings of Kowalski-Michel-Sawin for prime moduli. We rely on the representation theory of SL2(Z/cZ), an amplification argument with non-abelian characters, and bounds for quadratic character sums. We'll very briefly mention applications to moments of twisted L-functions and the GL2 exceptional-spectrum large sieve. This is based on two papers, one of them joint with Valentin Blomer.
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Time: Sep 29, 2026 02:00 PM Budapest
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