LFANT - 2018 - Annual activity report

LFANT

LFANT - 2018

Project-Team Lfant

Team, Visitors, External Collaborators

Overall Objectives

Presentation

Research Program

Number fields, class groups and other invariants
Function fields, algebraic curves and cryptology
Complex multiplication

Highlights of the Year

New Software and Platforms

APIP
AVIsogenies
CM
CMH
CUBIC
Euclid
KleinianGroups
GNU MPC
MPFRCX
PARI/GP

New Results

Cryptographic Protocols
Computation of Euclidean minima in totally definite quaternion fields
Can you hear the homology of 3-dimensional drums?
Error-correcting codes based on non-commutative algebras
Towards practical key exchange from ordinary isogeny graphs
Optimal addition sequences for theta functions
Reed–Solomon-Gabidulin Codes
Computing Stieltjes constants using complex integration
Numerical Evaluation of Elliptic Functions, Elliptic Integrals and Modular Forms
Numerical integration in arbitrary-precision ball arithmetic
Fast and rigorous arbitrary-precision computation of Gauss-Legendre quadrature nodes and weights
On a two-valued sequence and related continued fractions in power series fields
Moduli space
Modular forms
L-functions
Number fields

Partnerships and Cooperations

National Initiatives
European Initiatives
International Initiatives
International Research Visitors

Dissemination

Promoting Scientific Activities
Teaching - Supervision - Juries
Popularization

Bibliography

Major publications
Publications of the year
References in notes

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Section: New Results

On a two-valued sequence and related continued fractions in power series fields

Participant : Bill Allombert.

In [15], Bill Allombert with Nicolas Brisebarre and Alain Lasjaunias describe a noteworthy transcendental continued fraction in the field of power series over $ℚ$ , having irrationality measure equal to 3. This article has been published in The Ramanujan Journal.

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