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Number Theory Seminar

Thursday, June 1, 2023
4:00pm to 5:00pm
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Linde Hall 387
Relative Trace Formula and the Burgess Bound for Twisted $L$-functions
Liyang Yang, Department of Mathematics, Princeton University,

This talk focuses on the application of a relative trace formula to establish an enhanced hybrid subconvex bound for $L(1/2,\pi\times\chi)$, where $\pi$ denotes a unitary automorphic representation of $\mathrm{GL}(2)$ over a number field $F$ and $\chi$ represents a Hecke character. Our approach leads to the derivation of the Burgess subconvex bound, which can be succinctly stated as:




where $C(\chi)$ refers to the analytic conductor of $\chi$.

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