Department of Mathematics Calendar

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The Department of Mathematics is a bustling place full of new ideas. We host several events that occur throughout the year, including seminars, colloquium, conferences, and social events. Our seminars and colloquium are open to the public: all students, faculty, or alumni who are interested are welcome to join us for exciting talks on the leading edge of mathematics research!

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Number Theory Seminar

Event Type
Seminar/Symposium
Sponsor
Number Theory Research Group
Location
Zoom
Date
Sep 27, 2022   11:00 am - 12:00 pm  
Speaker
Daodao Yang ( Graz University of Technology )
Contact
Alexandru Zaharescu
E-Mail
zaharesc@illinois.edu
Views
39
Large values of derivatives of the Riemann zeta function  and related problems
 
Abstract: Resonance methods are useful tools to produce large values  of the Riemann zeta-function and L-functions. GCD sums are one of important ingredients. I will talk on producing large values of derivatives of zeta and L-functions via  resonance methods. The related ingredients, log-type GCD sums will be discussed. On the other hand, I will talk on conditional upper bounds and asymptotic formulas when assuming RH (GRH) and a conjecture of  Granville-Soundararajan on character sums.
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