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Karim Belabas - S-units and compact representations in number fields

2020-01-22

Description : 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 .


https://hal.archives-ouvertes.fr/hal-02530400
Contributor : Fanny Bastien <>
Submitted on : Thursday, April 2, 2020 - 9:52:56 PM
Last modification on : Wednesday, February 24, 2021 - 11:46:36 AM