M\"obius Randomness Law for Frobenius Traces
Number Theory
2020-05-19 v3
Abstract
Recently E. Bombieri and N. M. Katz (2010) have demonstrated that several well-known results about the distribution of values of linear recurrence sequences lead to interesting statements for Frobenius traces of algebraic curves. Here we continue this line of study and establish the M\"obius randomness law quantitatively for the normalised form of Frobenius traces.
Keywords
Cite
@article{arxiv.1909.00969,
title = {M\"obius Randomness Law for Frobenius Traces},
author = {Min Sha and Igor E. Shparlinski},
journal= {arXiv preprint arXiv:1909.00969},
year = {2020}
}
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13 pages