Möbius cancellation on polynomial sequences and the quadratic Bateman–Horn conjecture over function fields
W Sawin, M Shusterman - Inventiones mathematicae, 2022 - Springer
We establish cancellation in short sums of certain special trace functions over F q [u] below
the Pólya–Vinogradov range, with savings approaching square-root cancellation as q …
the Pólya–Vinogradov range, with savings approaching square-root cancellation as q …
General multiple Dirichlet series from perverse sheaves
W Sawin - Journal of Number Theory, 2024 - Elsevier
We give an axiomatic characterization of multiple Dirichlet series over the function field F q
(T), generalizing a set of axioms given by Diaconu and Pasol. The key axiom, relating the …
(T), generalizing a set of axioms given by Diaconu and Pasol. The key axiom, relating the …