3 papers
math.NT2026
Solomon zeta functions over arithmetic orders
Sean B. Lynch
We prove an effective version of Solomon's first conjecture for lattices over orders in finite-dimensional semisimple algebras over nonarchimedean local fields. We express the quot…
math.NT2024
Zeta functions of orders on surfaces
Daniel Chan, Sean B. Lynch
In this manuscript, we give effective methods for computing the zeta function of maximal orders on surfaces.
math.NT2023
Bushnell-Reiner zeta functions over two-dimensional semilocal rings
Sean B. Lynch
Lustig gave an infinite product formula for the zeta function of a commutative two-dimensional regular local ring with finite residue field. We extend this to the noncommutative se…