The Ratios Conjecture Over Function Fields

Explore recent research on the Ratios Conjecture for quadratic L-functions over function fields in this 59-minute lecture by Alexandra Florea from the Hausdorff Center for Mathematics. Delve into joint work with H. Bui and J. Keating, examining the Ratios Conjecture and its implications. Investigate the related challenge of deriving upper bounds for negative moments of L-functions, which contributes to partial results supporting the Ratios Conjecture in specific cases involving one over one, two over two, and three over three L-functions.