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Graduate Student Number Theory Learning Seminar

Twisted Second moment of the Riemann zeta function.

Surya Teja Gavva: Rutgers University

Location:  Hill 525
Date & time: Wednesday, 01 February 2017 at 3:15PM - 3:15PM

The asymptotics for mean-square of the product of the Riemann zeta-function with an arbitrary Dirichlet polynomial have been consistently used to understand the distribution of values, zeroes, upper and lower bounds for sizes of the zeta function. I'll try to talk about a recent result of Bettin, Chandee, Radziwill where they go beyond theta=1/2, i.e., length of the Dirichlet polynomial is T^{ theta}, theta > 1/2. Their main tool is an estimate for trilinear forms in Kloosterman fractions.

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