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Aix-Marseille Université
Institut de Mathématiques de Marseille (I2M) - UMR 7373
Site Saint-Charles : 3 place Victor Hugo, Case 19, 13331 Marseille Cedex 3
Site Luminy : Campus de Luminy - Case 907 - 13288 Marseille Cedex 9

Séminaire

Efficient resolution of Thue-Mahler equations (reporté)

Adela Gherga
University of Warwick
https://www.adelagherga.ca/

Date(s) : 08/12/2022   iCal
12h00 - 13h00

Let F be a homogenous irreducible form of degree at least 3 with integer coefficients. A Thue-Mahler equation is a Diophantine equation of the form  F(X,Y) = a . p1z1  … pvzv  where a is an integer and  p1,…, pv  are rational primes. To explicitly solve these equations when the degree and set of primes is small, there exists a practical method of Tzanakis-de Weger using linear forms in logarithms. We give new lattice sieving techniques and a refined algorithm capable of resolving Thue-Mahler equations with high-degree and large prime sets. In this talk, we describe our refined implementation of this method and discuss the key steps used in our algorithm.

Lien Zoom :
https://univ-amu-fr.zoom.us/j/92195848065?pwd=dEVoUmx1b1JUYTdERVZ1c1NPazN0QT09

Meeting ID : 921 9584 8065
Passcode : voir mail

Nous nous retrouverons à la FRUMAM pour assister ensemble à l’exposé.
 

Emplacement
Saint-Charles - FRUMAM (3ème étage)

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