Strong Chinburg's conjecture on Mahler measures and Dirichlet L-values
Strong Chinburg's conjecture on Mahler measures and Dirichlet L-values
Let denote the Mahler measure of a non-zero polynomial , let denote the derivative of a Dirichlet -function, and let be an odd quadratic character. Strong Chinburg's conjecture. For every odd quadratic character and every , there exists a non-zero polynomial and a rational number such that
This conjecture concerns the proposed relationship between Mahler measures and special values of Dirichlet -functions. The source presents it as one of Chinburg's conjectures and does not state a resolution.
Sources & referencesView supporting material
Primary source
Marie-José Bertin and Mahya Mehrabdollahei, “An exact family of bivariate polynomials and Variants of Chinburg's Conjectures”, arXiv:2407.20634 (2025).
Progress summary
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
Sign in to submit a solution.
No solutions have been posted yet.