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Caltech

Number Theory Seminar

Thursday, February 3, 2022
4:00pm to 5:00pm
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Linde Hall 387
The Ratios Conjecture over function fields
Alexandra Florea, Department of Mathematics, UC Irvine,

I will talk about some recent results on the Ratios Conjecture for the family of quadratic L-functions over function fields. I will also discuss the closely related problem of obtaining upper bounds for negative moments of L-functions, which allows us to obtain partial results towards the Ratios Conjecture in the case of one over one, two over two and three over three L-functions. Part of the work is joint with H. Bui and J. Keating.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].