Combinatorial and Additive Number Theory Problem Sessions: '09--'25

TL;DR

This paper summarizes the problem session discussions from the Combinatorial and Additive Number Theory Conferences from 2009 to 2019, highlighting ongoing problems and progress in the field.

Contribution

It compiles and updates a comprehensive record of problems and discussions from a decade of CANT conferences, serving as a resource for researchers.

Findings

Compilation of problem discussions from 2009-2019

Documentation of progress on various problems

Resource for future research in number theory

Abstract

These notes are a summary of the problem session discussions at various CANT (Combinatorial and Additive Number Theory Conferences). Currently they include all years from 2009 through 2019 (inclusive); the goal is to supplement this file each year. These additions will include the problem session notes from that year, and occasionally discussions on progress on previous problems. If you are interested in pursuing any of these problems and want additional information as to progress, please email the author. See http://www.theoryofnumbers.com/ for the conference homepage.