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Analytic Number Theory Graduate Student Seminar May 09, 2017 (04:00 PM PDT - 05:00 PM PDT)
Parent Program:
Location: MSRI: Baker Board Room
Speaker(s) Amita Malik (University of Illinois at Urbana-Champaign), Raphael Steiner (University of Bristol)
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4pm:​ ​Raphael Steiner

Title: Converse Theorems of Hecke, Weil, and beyond

Abstract: We discuss the converse theorems of Hecke and Weil for modular forms as well as problems arising from "counterexamples" of non-arithmetic nature and how they may be avoided in such converse theorems

4:30pm: ​ ​Amita Malik

Title: On the zeros of the derivatives of the completed Riemann zeta function

Abstract:​ ​Let \xi(s) denote the completed Riemann zeta function. It is known that the Riemann hypothesis for \xi(s) implies the Riemann hypothesis for \xi^{(m)}(s), where m is any positive integer. In this talk, we discuss some results on the distribution of imaginary parts of zeros of​ ​\xi^{(m)}(s). This is joint work with Arindam Roy.

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