25-06-2024
The Center of Mathematics and Applications (NOVA Math), promote the Seminar of Algebra and Logic / Doctoral Program in Mathematics with the title: “Pythagorean Triples via Multiplicative Functions”. Guilherme Azevedo (NOVA Math and Department of Mathematics, NOVA FCT) is the speaker.
Abstract: Suppose that the natural numbers are coloured with a finite number of colours. The question whether there are solutions to the equation x2+y2=z2 where x,y,z all have the same colour remains unanswered to this day. This was first asked by Erdős and Graham in the late 70's, and it is colloquially referred to as the Pythagorean triples (colouring) problem. Motivated by multiplicative functions, we explore some state-of-the-art results that lend support to the hypothesis that the answer to the Pythagorean triples problem is affirmative.
Wednesday, 26 June 2024, from 14:00 to 15:00.
Zoom Link: https://videoconf-colibri.zoom.us/j/92954771613