Statistics for products of traces of high powers of the Frobenius class of hyperelliptic curves in even characteristic

DOI10.1142/S1793042119500878zbMath1456.11114MaRDI QIDQ5225075

Hwanyup Jung, Sunghan Bae

Publication date: 25 July 2019

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

zbMATH Keywords

hyperelliptic curveszeta functions of curves\(n\)-level densityzeros of \(L\)-functions

Mathematics Subject Classification ID

Curves over finite and local fields (11G20) Arithmetic theory of polynomial rings over finite fields (11T55) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (2)

Local statistics for zeros of Artin-Schreier 𝐿-functions ⋮ Unnamed Item

Cites Work

• Unnamed Item
• The statistics of the number of rational points in the hyperelliptic ensemble over a finite field
• Low-lying zeros of quadratic Dirichlet \(L\)-functions, hyper-elliptic curves and random matrix theory
• Statistics for products of traces of high powers of the Frobenius class of hyperelliptic curves
• Average values of \(L\)-functions in even characteristic
• Traces of high powers of the Frobenius class in the hyperelliptic ensemble
• Mock-Gaussian behaviour for linear statistics of classical compact groups

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