Geodesic
Möbius Randomness Law for Frobenius Traces of Ordinary Curves
Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 192-203

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DOI

Recently E. Bombieri and N. M. Katz (2010) 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.
DOI : 10.4153/S0008439520000363
Mots-clés : Möbius randomness law, smooth projective curve, Frobenius trace, Frobenius angle 
Sha, Min; Shparlinski, Igor E. Möbius Randomness Law for Frobenius Traces of Ordinary Curves. Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 192-203. doi: 10.4153/S0008439520000363
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     title = {M\"obius {Randomness} {Law} for {Frobenius} {Traces} of {Ordinary} {Curves}},
     journal = {Canadian mathematical bulletin},
     pages = {192--203},
     year = {2021},
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     doi = {10.4153/S0008439520000363},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000363/}
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