Lethbridge Number Theory and Combinatorics Seminar: Andrés Chirre
Topic
Partial sums of arithmetical functions under the partial Riemann hypothesis
Speakers
Details
One of my favorite quotations in mathematics is due to Titchmarsh, who remarked: “The finer theory of the partial sums of the Möbius function is extremely obscure, and the results are not nearly so precise as the corresponding ones in the prime number problem.” In this talk, we show how certain extremal functions in Fourier analysis can be used to obtain strong bounds for the partial sums of the Möbius function and von Mangoldt function. This is joint work with Harald A. Helfgott (CNRS).
Additional Information
Note: This is a virtual Zoom talk, with an in-person watch party at the usual time/place in M1060.