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Number Theory Seminar

Title: Short second moment and subconvexity for $\mathrm{GL}(3)$ $L$-functions
Speaker: Keshav Aggarwal (Alfred Renyi Institute of Mathematics, Budapest, Hungary)
Date: 02 November 2022
Time: 5 pm
Venue: Microsoft Teams (Online)

We bound a short second moment average of $\mathrm{GL}(3)$ and $\mathrm{GL}(3) \times \mathrm{GL}(1)$ $L$-functions. These yield $t$-aspect and depth aspect subconvexity bounds respectively, and improve upon the earlier subconvexity exponents. This moment estimate provides an analogue for cusp forms of Ivic’s bound for the sixth moment of the zeta function, and is the first time a short second moment has been used to obtain a subconvex bound in higher rank. This is a joint work with Ritabrata Munshi and Wing Hong Leung.

Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 09 Dec 2022