On the number of rational points of Jacobians over finite fields

DOI10.4064/aa169-4-5zbMath1367.11079arXiv1412.2609OpenAlexW2963143638MaRDI QIDQ5261963

Alexey Zykin, Philippe Lebacque

Publication date: 8 July 2015

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.2609

zbMATH Keywords

class numberexplicit formulaeJacobians over finite fields

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Class numbers, class groups, discriminants (11R29) Varieties over finite and local fields (11G25)

Related Items (1)

On the number of effective divisors in algebraic function fields defined over a finite field

Cites Work

• Lower bounds on the class number of algebraic function fields defined over any finite field
• ON LOGARITHMIC DERIVATIVES OF ZETA FUNCTIONS IN FAMILIES OF GLOBAL FIELDS
• Nombre de points des jacobiennes sur un corps fini
• ON INVARIANTS OF TOWERS OF FUNCTION FIELDS OVER FINITE FIELDS
• Generalised Mertens and Brauer–Siegel theorems
• On the number of points on abelian and Jacobian varieties over finite fields

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