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Number Theory Seminar

Zeros, convexity, and variations

Chung-Hang Kwan

Location:  HLL 525
Date & time: Tuesday, 30 September 2025 at 2:00PM - 3:00PM

Abstract: The Riemann zeta function and its generalizations to automorphic L-functions stand at the centre of number theory, with the distribution of their zeros intimately connected to that of arithmetic objects such as prime numbers/ideals and class groups. In this talk, I will present new unconditional results on critical zeros for L-functions up to GL(3), building on the ideas of Levinson and Conrey--Iwaniec--Soundararajan, and introducing new variations on their methods. This is a joint work with Brian Conrey, David Farmer, Yongxiao Lin, and Caroline Turnage-Butterbaugh.