English

p-adic unit roots of L-functions over finite fields

Number Theory 2015-01-16 v1

Abstract

In this brief note, we consider p-adic unit roots or poles of L-functions of exponential sums defined over finite fields. In particular, we look at the number of unit roots or poles, and a congruence relation on the units. This raises a question in arithmetic mirror symmetry.

Keywords

Cite

@article{arxiv.1501.03703,
  title  = {p-adic unit roots of L-functions over finite fields},
  author = {C. Douglas Haessig},
  journal= {arXiv preprint arXiv:1501.03703},
  year   = {2015}
}

Comments

7 pages