Showing 2025 · math.NTShow all
2 papers · 2 filters
math.NT2025
Short sums of trace functions over function fields and their applications
Will Sawin, Mark Shusterman
For large enough (but fixed) prime powers , and trace functions to squarefree moduli in with slopes at most at infinity, and no Artin--Schreier factors in…
math.NT2025
Functional equations of axiomatic multiple Dirichlet series, Weyl groupoids, and quantum algebra
Will Sawin, Ian Whitehead
We prove functional equations for multiple Dirichlet series defined by a collection of five geometric axioms. We find functional equations of two types: one modeled on the function…