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arXiv 2015-01-15 0 views

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

Haessig, C. Douglas

Original · EN

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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