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Linear recurrences with polynomial coefficients and application to integer factorization and Cartier-Manin operator

Identifieur interne : 004B94 ( Main/Merge ); précédent : 004B93; suivant : 004B95

Linear recurrences with polynomial coefficients and application to integer factorization and Cartier-Manin operator

Auteurs : Alin Bostan [France] ; Pierrick Gaudry [France] ; Eric Schost [France]

Source :

SIAM Journal on Computing [ 0097-5397 ] ; 2007.

RBID : Hal:inria-00103401

Abstract

We study the complexity of computing one or several terms (not necessarily consecutive) in a recurrence with polynomial coefficients. As applications, we improve the best currently known upper bounds for factoring integers deterministically, and for computing the Cartier-Manin operator of hyperelliptic curves.

Url:

https://hal.inria.fr/inria-00103401

DOI: 10.1137/S0097539704443793

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Linear recurrences with polynomial coefficients and application to integer factorization and Cartier-Manin operator

Linear recurrences with polynomial coefficients and application to integer factorization and Cartier-Manin operator

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Abstract

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