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math.NT2026
The strong form of Van der Waerden's conjecture via twisted Chowla
Theresa C. Anderson, Sam Chow, Rainer Dietmann +5
Determining the properties of a random polynomial has fuelled significant investigation over the past century. One driving force of this research is a 1936 paper of Van der Waerden…
math.NT2026
Relating Mahler measures and Dirichlet -values: new evidence for Chinburg's conjectures
David Hokken, Mahya Mehrabdollahei, Berend Ringeling
Let be the odd quadratic Dirichlet character of conductor , and let denote the Mahler measure of a polynomial . In 1984, Chinburg conjectured that fo…