A p-adic factorization routine for Magma

Follow this link to download our implementation of the Single Factor Lift p-adic factorization algorithm, described in the article "Single-factor lifting and factorization of polynomials over local fields" (http://arxiv.org/abs/1104.3181).

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A new computational approach to Algebraic Number Theory

Slides of the talk given at GTEM final meeting in Barcelona (10/09/2010).

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Arithmetic in big number fields: the '+Ideals' package

Jordi Guàrdia, Jesus Montes, Enric Nart
May 2010
http://arxiv.org/abs/1005.4596

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The +Ideals package

J. Guàrdia, J. Montes, E. Nart
May 2010
http://www-ma4.upc.edu/~guardia/+Ideals.html

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A new computational approach to ideal theory in number fields

Jordi Guàrdia, Jesus Montes, Enric Nart
May 2010
http://arxiv.org/abs/1005.1156

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Okutsu invariants and Newton polygons

J. Guàrdia, J. Montes, E. Nart
November 2009
To appear in Acta Arithmetica
http://arxiv.org/abs/0911.0286

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Newton polygons and p-integral bases

Lhoussain El fadil, Jesus Montes, Enric Nart
June 2009
http://arxiv.org/abs/0906.2629

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Higher Newton polygons and integral bases

J. Guàrdia, J. Montes, E. Nart
February 2009
http://arxiv.org/abs/0902.3428

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Higher Newton polygons in the computation of discriminants and prime ideal decomposition in number fields

J. Guàrdia, J. Montes, E. Nart
July 2008
http://arxiv.org/abs/0807.4065

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Newton polygons of higher order in algebraic number theory

J. Guàrdia, J. Montes, E. Nart
July 2008
http://arxiv.org/abs/0807.2620

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The Montes package

J. Guàrdia, J. Montes, E. Nart
July 2008
http://www-ma4.upc.edu/~guardia/MontesAlgorithm.html

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The origins: Montes' PhD

J. Montes
1999
You can donwload here in pdf format.

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