Linear recurrences with polynomial coefficients and application to integer factorization and Cartier-Manin operator
Identifieur interne : 004A56 ( Main/Exploration ); précédent : 004A55; suivant : 004A57Linear 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.
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:
DOI: 10.1137/S0097539704443793
Affiliations:
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<front><div type="abstract" xml:lang="en">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.</div>
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