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

C. Douglas Haessig

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arXiv · 1501.03703

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

C. Douglas Haessig

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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.

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C. Douglas Haessig. 2015-01-15. p-adic unit roots of L-functions over finite fields. https://arxiv.org/abs/1501.03703

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