Möbius Randomness Law for Frobenius Traces

2019/09/03 by Min Sha, Sha, Min, Igor E. Shparlinski +1
Mathematics · #Analytic Number Theory Research #Algebraic Geometry and Number Theory #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.1909.00969

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 Möbius randomness law quantitatively for the normalised form of Frobenius traces.

Citations

• Linear Equations in Variables which Lie in a Multiplicative Group

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