Riemann zeta Dirichlet L functions and Fourier Duality

5-11 September 2022

Title of the course: Riemann zeta Dirichlet L functions and Fourier Duality
Instructor: Dr.
E. Mehmet Kıral
Institution:
RIKEN AIP
Dates:
5-11 September 2022
Prerequisites:
Basics of complex analysis, Fourier Transform and number theory
Level:
Graduate, advanced undergraduate
Abstract:
We will prove the functional equation of the Riemann zeta function, Dirichlet L functions with an emphasis of viewing them as instances of Fourier duality. I hope to make this connection as apparent as possible. Fourier duality is at the heart of analytic number theory.
Language: English (unless all the attendees speak Turkish)
Textbook: Notes in Turkish will be distributed at the beginning of class to the attendees.