Atelier PARI/GP 2020

Collection Atelier PARI/GP 2020

Organizer(s) Bill Allombert (Bordeaux), Karim Belabas (Bordeaux), Philippe Elbaz-Vincent (Grenoble).

Date(s) 20/01/2020 - 24/01/2020

linked URL https://pari.math.u-bordeaux.fr/Events/PARI2020/

00:00:00 / 00:00:00

3 4

S-units and compact representations in number fields

By Karim Belabas

Huge algebraic numbers are problematic because- computing with them algebraically is expensive;- approximations via floating point embeddings into C require huge accuracy (cancellation);- they are often intermediate results: we do not want a result in K but in K∗/(K∗)2, or in- ZK/pk, or a floating point approximation to complex embeddings, or . . .- they may overflow the possibilities of the implementation: try 22100 .

Information about the video

Date of recording 22/01/2020
Date of publication 03/06/2026
Institution Institut Fourier
Licence CC BY NC ND
Language English
Format MP4

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S-units and compact representations in number fields

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