Distribution of points on Abelian covers over finite fields

DOI10.1142/S1793042118500860zbMath1441.11228arXiv1612.03411MaRDI QIDQ4643787

Patrick Meisner

Publication date: 29 May 2018

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.03411

zbMATH Keywords

function fieldsfinite fieldsmoduli spacecurves

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Zeta and (L)-functions in characteristic (p) (11M38)

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Cites Work

• Distribution of points on cyclic curves over finite fields
• Statistics for biquadratic covers of the projective line over finite fields. With an appendix by Alina Bucur
• The fluctuations in the number of points on a hyperelliptic curve over a finite field
• Statistics for Traces of Cyclic Trigonal Curves over Finite Fields
• The Distribution of 𝔽_q-Points on Cyclic ℓ-Covers of Genusg
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