Factorization with genus 2 curves (Q3584826)

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Language	Label	Description	Also known as
English	Factorization with genus 2 curves	scientific article

Statements

scholarly article

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Factorization with genus 2 curves (English)

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Mathematics of Computation

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publication date

30 August 2010

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full work available at URL

https://arxiv.org/abs/0905.2325

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zbMATH Keywords

factorization

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hyperelliptic curves

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MaRDI profile type

MaRDI publication profile

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ECM using Edwards curves

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Improving the arithmetic of elliptic curves in the Jacobi model

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Fast genus 2 arithmetic based on Theta functions

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Factoring integers with elliptic curves

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Speeding the Pollard and Elliptic Curve Methods of Factorization

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Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman

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Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura

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Genus two curves covering elliptic curves: a computational approach

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Equations for the Jacobian of a hyperelliptic curve

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Algorithmic Number Theory

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Identifiers

zbMATH Open document ID

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10.1090/S0025-5718-09-02295-9

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3584826

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