English

An observation concerning highly ramified $\epsilon$-factors

Representation Theory 2026-04-13 v2 Number Theory

Abstract

In this note we prove a quantitative stability result for the ϵ\epsilon-factors associated to generic irreducible representations of GLn(F)\textrm{GL}_n(F) under twists by highly ramified characters, where FF is a non-archimedean local field.

Cite

@article{arxiv.2404.03388,
  title  = {An observation concerning highly ramified $\epsilon$-factors},
  author = {Edgar Assing},
  journal= {arXiv preprint arXiv:2404.03388},
  year   = {2026}
}

Comments

15 pages; to appear in Rocky Mountain Journal of Mathematics

R2 v1 2026-06-28T15:44:01.613Z