Probabilistic Number Theory (Spring 2018) by Jean-Marc Deshouillers

# playlist (click the video's upper-left icon) 

source: matsciencechannel         2018年1月17日

1:27:52 Arithmetical functions: basic notions. Probability: Basic Notions
1:38:25 Weak convergence of random variables The Turan-Kubilius inequality
1:43:47 A weak version of the Erd\H{o}s-Kac Theorem;a stronger form of the Hardy-Ramanujan Theorem
1:31:03 Additive number theory: basic notions. Erdos approach to additive questions via probability theory.
1:22:23 Arithmetico-probabilist models. Atkin's approximation of sums of two squares.

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