Bounds for the number of points on curves over finite fields (original) (raw)

New methods for bounding the number of points on curves over finite fields

Everett Howe

EMS Series of Congress Reports

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On algebraic curves over a finite field with many rational points

Gábor Korchmáros

Bulletin of the Belgian Mathematical Society - Simon Stevin, 2000

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The number of points on an algebraic curve over a finite field

Gábor Korchmáros

Surveys in Combinatorics 2007

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Corrigendum to: Improved upper bounds for the number of points on curves over finite fields

Everett Howe

Annales de l’institut Fourier, 2007

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On the order of points on curves over finite fields

Felipe Jose

2007

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Algebraic curves over finite fields

Muhammad Afzal Soomro

1991

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The genus of curves over finite fields with many rational points

fernando torres

Manuscripta Mathematica, 1996

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On the distribution of the number of points on algebraic curves in extensions of finite fields

Omran Ahmadi

Mathematical Research Letters, 2010

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New bounds on the maximum number of points on genus-4 curves over small finite fields

Everett Howe

Contemporary Mathematics, 2012

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Number of Points on the Projective Curves ... Defined over Finite Fields, l an Odd Prime

S A Katre

1999

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Lower Bounds on the Number of Rational Points of Jacobians over Finite Fields and Application to Algebraic Function Fields in Towers

Robert Rolland

Moscow Mathematical Journal, 2015

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On the number of points of algebraic sets over finite fields

Robert Rolland

Journal of Pure and Applied Algebra, 2015

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On the Value Sets of Special Polynomials over Finite Fields

Abramo Hefez

Finite Fields and Their Applications, 1996

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On a conjecture of Tsfasman and an inequality of Serre for the number of points on hypersurfaces over finite fields

Mrinmoy Datta

arXiv (Cornell University), 2015

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Lower bounds on the class number of algebraic function fields defined over any finite field

Robert Rolland

Journal de Théorie des Nombres de Bordeaux, 2012

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Incidence bounds and applications over finite fields

Nguyen Duy Phuong

arXiv (Cornell University), 2016

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On a Conjecture of Tsfasman and an Inequality of Serre for the Number of Points of Hypersurfaces over Finite Fields

Mrinmoy Datta

Moscow Mathematical Journal, 2015

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Point counting on Picard curves in large characteristic

Edlyn Teske

Mathematics of Computation - Math. Comput., 2005

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Bounds on the number of rational points of curves in families

Alex Torzewski

Bulletin of the London Mathematical Society

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On quadratic curves over finite fields

Vagn Lundsgaard Hansen

arXiv: Number Theory, 2018

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Some remarks on the number of points on elliptic curves over finite prime field

James Mc Laughlin

Bulletin of the Australian Mathematical Society, 2007

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On the linear bounds on genera of pointless hyperelliptic curves

Ivan Pogildiakov

arXiv: Algebraic Geometry, 2017

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Families of curves over any finite field with a class number greater than the Lachaud - Martin-Deschamps bounds

Robert Rolland

2009

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Points on singular Frobenius nonclassical curves

Herivelto Borges

Bulletin of the Brazilian Mathematical Society, New Series

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A G ] 2 N ov 2 01 5 Points on singular Frobenius nonclassical curves

Herivelto Borges

2018

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The Number Of Rational Points On Elliptic Curves And Circles Over Finite Fields

OSMAN BİZİM

2008

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Concentration of points and isomorphism classes of hyperelliptic curves over a finite field in some thin families

jose hernandez

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The fluctuations in the number of points of smooth plane curves over finite fields

Matilde Lalin

2009

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Fermat curves over finite fields and cyclic subsets in high-dimensional projective spaces

Gábor Korchmáros

1999

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