October 23, 2017
4:15 pm
-
5:15 pm
Math Tower 154
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2017-10-23 16:15:00
2017-10-23 17:15:00
Number Theory Seminar - Keshav Aggarwal
Title: Hybrid subconvex bound for certain Hecke character L-functionsSpeaker: Keshav Aggarwal (Ohio State University)Abstract: Let $\psi$ be a Hecke chacter. Kaufman (1979) and Sohne (1996) proved a $t$-aspect subconvex bound for $L(s,\psi)$, while recently Michel-Venkatesh (2010) proved a uniform subconvex bound in all aspects. Wu (2016) followed Michel-Venkatesh to prove a conditional Burgess bound in conductor aspect. We follow recent methods developed by Munshi to prove a Weyl bound in $t$-aspect for Hecke character L-functions of imaginary quadratic fields, and a hybrid bound in conductor aspect as strong as the Weyl bound.Seminar URL: https://research.math.osu.edu/numbertheory/number.php
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2017-10-23 16:15:00
2017-10-23 17:15:00
Number Theory Seminar - Keshav Aggarwal
Title: Hybrid subconvex bound for certain Hecke character L-functionsSpeaker: Keshav Aggarwal (Ohio State University)Abstract: Let $\psi$ be a Hecke chacter. Kaufman (1979) and Sohne (1996) proved a $t$-aspect subconvex bound for $L(s,\psi)$, while recently Michel-Venkatesh (2010) proved a uniform subconvex bound in all aspects. Wu (2016) followed Michel-Venkatesh to prove a conditional Burgess bound in conductor aspect. We follow recent methods developed by Munshi to prove a Weyl bound in $t$-aspect for Hecke character L-functions of imaginary quadratic fields, and a hybrid bound in conductor aspect as strong as the Weyl bound.Seminar URL: https://research.math.osu.edu/numbertheory/number.php
Math Tower 154
America/New_York
public
Title: Hybrid subconvex bound for certain Hecke character L-functions
Speaker: Keshav Aggarwal (Ohio State University)
Abstract: Let $\psi$ be a Hecke chacter. Kaufman (1979) and Sohne (1996) proved a $t$-aspect subconvex bound for $L(s,\psi)$, while recently Michel-Venkatesh (2010) proved a uniform subconvex bound in all aspects. Wu (2016) followed Michel-Venkatesh to prove a conditional Burgess bound in conductor aspect. We follow recent methods developed by Munshi to prove a Weyl bound in $t$-aspect for Hecke character L-functions of imaginary quadratic fields, and a hybrid bound in conductor aspect as strong as the Weyl bound.
Seminar URL: https://research.math.osu.edu/numbertheory/number.php
