Skip to main content

An application of number theory over function fields to combinatorics

Posted in
Cedric Pilatte
University of Oxford
Mon, 11/09/2023 - 11:30 - 11:50
MPIM Lecture Hall

In 1993, Erdős, Sárközy and Sós posed the question of whether there exists a set S of positive integers that is both a Sidon set and an asymptotic basis of order 3. This means that the sums of two elements of S are all distinct, while the sums of three elements of S cover all sufficiently large integers. In this talk, I will present a construction of such a set, building on ideas of Ruzsa and Cilleruelo. The proof uses a powerful number-theoretic result of Sawin, which is established using cutting-edge algebraic geometry techniques.

© MPI f. Mathematik, Bonn Impressum & Datenschutz
-A A +A