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Fourier Uniformity of Multiplicative Functions

Offered By: IMSA via YouTube

Tags

Number Theory Courses Fourier Analysis Courses

Course Description

Overview

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Explore the Fourier uniformity conjecture and its implications in a 57-minute lecture by Miguel Walsh from the University of Buenos Aires. Delve into recent advancements in understanding which multiplicative functions can possess large Fourier coefficients across numerous short intervals. Examine the conjecture's connection to prime number distribution and its relationship with other key problems concerning multiplicative functions, including the Chowla and Sarnak conjectures. Gain insights into this complex mathematical topic and its significance in number theory.

Syllabus

Miguel Walsh, University of Buenos Aires: Fourier uniformity of multiplicative functions


Taught by

IMSA

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