The statistics of the number of rational points in the hyperelliptic ensemble over a finite field

DOI10.1007/s11856-016-1335-4zbMath1410.11078OpenAlexW2515376005MaRDI QIDQ312278

Sunghan Bae, Hwanyup Jung

Publication date: 15 September 2016

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-016-1335-4

zbMATH Keywords

rational pointshyperelliptic curvesFrobenius class

Mathematics Subject Classification ID

Rational points (14G05) Curves over finite and local fields (11G20) Finite ground fields in algebraic geometry (14G15)

Related Items (3)

ON THE DISTRIBUTION OF THE RATIONAL POINTS ON CYCLIC COVERS IN THE ABSENCE OF ROOTS OF UNITY ⋮ Statistics for products of traces of high powers of the Frobenius class of hyperelliptic curves in even characteristic ⋮ Statistics of traces of high powers of the Frobenius for biquadratic function fields over finite fields

Cites Work

• Unnamed Item
• The fluctuations in the number of points on a hyperelliptic curve over a finite field
• On the distribution of zeroes of Artin-Schreier \(L\)-functions
• Algebraic Function Fields and Codes
• Traces of high powers of the Frobenius class in the hyperelliptic ensemble

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