Michel Waldschmidt: Representation of integers by cyclotomic binary forms (NTWS 003)
Channel: Number Theory Web Seminar
Date: 11/04/2023

Abstract: The representation of positive integers as a sum of two squares is a classical problem studied by Landau and Ramanujan. A similar result has been obtained by Bernays for positive definite binary form. In joint works with Claude Levesque and Etienne Fouvry, we consider the representation of integers by the binary forms which are deduced from the cyclotomic polynomials. One main tool is a recent result of Stewart and Xiao which generalizes the theorem of Bernays to binary forms of higher degree. 

Number Theory Web Seminar: https://www.ntwebseminar.org

Original air date: 
Tuesday, May 12, 2020 (1am PDT, 4am EDT, 9am BST, 10am CEST, 1:30pm IST, 4pm China Standard Time, 6pm AEST, 8pm NZST)