April 15, 2019
4:15PM - 5:15PM
Math Tower 154
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2019-04-15 16:15:00
2019-04-15 17:15:00
Number Theory Seminar - Alia Hamieh
Title: Value-Distribution of Cubic Hecke $L$-functions
Speaker: Alia Hamieh (University of Northern British Columbia)
Abstract: In this talk, we survey some recent results on the distribution of values of various families of $L$-functions in the critical strip. We also describe a value-distribution theorem for the logarithms and logarithmic derivatives of a family of $L$-functions attached to cubic Hecke characters. As a corollary we establish the existence of an asymptotic distribution function for the error term of the Brauer-Siegel asymptotic formula for a certain family of cubic extensions of $\mathbb{Q}(\sqrt{-3})$. We also deduce a similar result for the Euler-Kronecker constants of this family. This is joint work with Amir Akbary.
Math Tower 154
OSU ASC Drupal 8
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America/New_York
public
Date Range
Add to Calendar
2019-04-15 16:15:00
2019-04-15 17:15:00
Number Theory Seminar - Alia Hamieh
Title: Value-Distribution of Cubic Hecke $L$-functions
Speaker: Alia Hamieh (University of Northern British Columbia)
Abstract: In this talk, we survey some recent results on the distribution of values of various families of $L$-functions in the critical strip. We also describe a value-distribution theorem for the logarithms and logarithmic derivatives of a family of $L$-functions attached to cubic Hecke characters. As a corollary we establish the existence of an asymptotic distribution function for the error term of the Brauer-Siegel asymptotic formula for a certain family of cubic extensions of $\mathbb{Q}(\sqrt{-3})$. We also deduce a similar result for the Euler-Kronecker constants of this family. This is joint work with Amir Akbary.
Math Tower 154
Department of Mathematics
math@osu.edu
America/New_York
public
Title: Value-Distribution of Cubic Hecke $L$-functions
Speaker: Alia Hamieh (University of Northern British Columbia)
Abstract: In this talk, we survey some recent results on the distribution of values of various families of $L$-functions in the critical strip. We also describe a value-distribution theorem for the logarithms and logarithmic derivatives of a family of $L$-functions attached to cubic Hecke characters. As a corollary we establish the existence of an asymptotic distribution function for the error term of the Brauer-Siegel asymptotic formula for a certain family of cubic extensions of $\mathbb{Q}(\sqrt{-3})$. We also deduce a similar result for the Euler-Kronecker constants of this family. This is joint work with Amir Akbary.
