Santiago Vázquez Sáez

London School of Geometry and Number Theory London School of Geometry and Number Theory


The Duffin-Schaeffer Conjecture


Linfoot Number Theory Seminar


6th November 2024, 11:00 am – 12:00 pm
Fry Building, 2.04


The Duffin-Schaeffer conjecture is a central result in Diophantine approximation, concerning the proportion of real numbers that can be approximated in infinitely many ways by irreducible fractions, given a specific error threshold. In this talk, we will explore the ideas behind the proof of the (quantitative) Duffin-Schaeffer conjecture, focusing on the simplified argument of Hauke, Walker, and Vazquez. We will also touch on the recent improvements of Koukoulopoulos, Maynard, and Yang, who established an almost sharp bound for the number of such approximations.





Organisers: Holly Green, Besfort Shala

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