works on
arithmetic orders 1lattices 1module theory 1nonarchimedean local fields 1solomon zeta functions 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.NT2026

Solomon zeta functions over arithmetic orders

Sean B. Lynch

The paper proves an effective version of Solomon’s first conjecture for lattices over orders in finite‑dimensional semisimple algebras over nonarchimedean local fields, providing e…

math.NT2025

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.NT2025

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…