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Seminar

Quartic Gauss sums over primes and metaplectic theta functions

Speaker
Alex Dunn (Georgia Tech)
Date
Wed, Nov 6 2024, 1:00pm
Location
383N
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We improve 1987 estimates of Patterson for sums of quartic Gauss sums over primes. Our Type-I and Type-II estimates feature new ideas, including use of the quadratic large sieve over the Gaussian quadratic field, and Suzuki's evaluation of the Fourier-Whittaker coefficients of quartic theta functions at squares. We also conjecture asymptotics for certain moments of quartic Gauss sums over primes. This is a joint work with C.David, A.Hamieh, and H.Lin.