L-functions in Analytic Number Theory Seminar: Sumaia Saad Eddin
Event Recap
A recording of this event is available on mathtube.org.
Topic
A Survey on the Evaluation of Dirichlet L-Functions and Their Logarithmic Derivatives on the Line Re(s)=1
(This talk will take place at 10 am Pacific Time. Note the unusual time.)
Speakers
Details
The values of Dirichlet L-functions at s=1 have long attracted considerable attention due to their deep algebraic and geometric significance. In contrast, the logarithmic derivatives of Dirichlet L-functions at s=1, which play a key role in the study of prime distribution, remain less thoroughly understood despite their importance, a topic of interest since Dirichlet's groundbreaking work in 1837.
In this talk, we survey known results on the evaluation of Dirichlet L-functions and their logarithmic derivatives at $s=1+it_0$​, for a fixed real number $t_0$.