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

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.

7 pages

References in corpus (2)

• Equalities, congruences, and quotients of zeta functions in Arithmetic Mirror Symmetry
• On the zeta function of divisors for projective varieties with higher rank divisor class group