2022
Preprints
- Jared Asuncion:
Computing the Hilbert Class Fields of Quartic CM Fields Using Complex Multiplication.
HAL 3210279, 2022. - Razvan Barbulescu:
(Non)practicabilité de l'algorithme classique-quantique de factorisation des entiers.
HAL 3483274, 2022. - Razvan Barbulescu:
Rigorous time bound for factoring with elliptic curves.
HAL 3485435, 2022. - Razvan Barbulescu, Nadia El Mrabet and Loubna Ghammam:
A taxonomy of pairings, their security, their complexity.
HAL 2129868, 2022. - Razvan Barbulescu and Sudarshan Shinde:
A classification of ECM-friendly families using modular curves.
HAL 1822144, 2022.
To appear in Mathematics of Computation, https://doi.org/10.1090/mcom/3697. - Karim Belabas and Bernadette Perrin-Riou:
Symboles modulaires surconvergents et fonctions $L$ $p$-adiques.
HAL 3112844, 2022. - Jean-François Biasse, Claus Fieker, Tommy Hofmann and Aurel Page:
Norm relations and computational problems in number fields.
HAL 2497890, 2022. - Xavier Caruso, Marc Mezzarobba, Nobuki Takayama and Tristan Vaccon:
Fast evaluation of some $p$-adic transcendental functions.
HAL 3263044, 2022. - Xavier Caruso:
Where are the zeroes of a random $p$-adic polynomial?.
HAL 2557280, 2022. - Xavier Caruso, Agnès David and Ariane Mézard:
Combinatorics of Serre weights in the potentially Barsotti–Tate setting.
HAL 3221168, 2022. - Xavier Caruso and Amaury Durand:
Duals of linearized Reed–Solomon codes.
HAL 3395402, 2022. - Henri Cohen:
Computing $L$-Functions of Quadratic Characters at Negative Integers.
HAL 3139244, 2022. - Henri Cohen:
Lambert $W$-Function Branch Identities.
HAL 3087491, 2022. - Henri Cohen and Jesús Guillera:
Rational Hypergeometric Ramanujan Identities for $1/\pi^c$: Survey and Generalizations.
HAL 3139250, 2022. - Jean-Marc Couveignes:
Short models of global fields.
HAL 2989008, 2022. - Jean-Marc Couveignes and Tony Ezome:
The equivariant complexity of multiplication in finite field extensions.
HAL 3410146, 2022. - Alina Dudeanu, Dimitar Jetchev, Damien Robert and Marius Vuille:
Cyclic Isogenies for Abelian Varieties with Real Multiplication.
HAL 1629829, 2022. - Élie Eid:
Computing isogenies between Jacobians of hyperelliptic curves of arbitrary genus via differential equations.
HAL 3142205, 2022. - Andreas Enge and Marco Streng:
Schertz style class invariants for quartic CM fields.
HAL 1377376, 2022. - Fredrik Johansson:
Computing isolated coefficients of the $j$-function.
HAL 3030172, 2022. - Fredrik Johansson:
On a fast and nearly division-free algorithm for the characteristic polynomial.
HAL 3016034, 2022. - Fredrik Johansson:
FunGrim: a symbolic library for special functions.
HAL 2506816, 2022. - Fredrik Johansson:
Arbitrary-precision computation of the gamma function.
HAL 3346642, 2022. - Fredrik Johansson:
Rapid computation of special values of Dirichlet $L$-functions.
HAL 3386620, 2022. - Jean Kieffer:
Degree and height estimates for modular equations on PEL Shimura varieties.
HAL 2436057, 2022. - Jean Kieffer:
Evaluating modular polynomials in genus 2.
HAL 2971326, 2022. - Jean Kieffer:
Sign choices in the AGM for genus two theta constants.
HAL 2967220, 2022. - Jean Kieffer:
Upper bounds on the heights of polynomials and rational fractions from their values.
HAL 3226568, 2022. - Jean Kieffer, Aurel Page and Damien Robert:
Computing isogenies from modular equations in genus two.
HAL 2436133, 2022. - Pınar Kılıçer and Marco Streng:
The CM class number one problem for curves of genus 2.
HAL 1248630, 2022. - Thorsten Kleinjung and Benjamin Wesolowski:
Discrete logarithms in quasi-polynomial time in finite fields of fixed characteristic.
HAL 3347994, 2022.
To appear in Journal of the American Mathematical Society https://doi.org/10.1090/jams/985. - David Lubicz and Damien Robert:
Linear representation of endomorphisms of Kummer varieties.
HAL 3204365, 2022. - Abdoulaye Maiga and Damien Robert:
Computing the 2-adic Canonical Lift of Genus 2 Curves.
HAL 3119147, 2022.
To appear in ICMC 2021 - 7th International Conference on Mathematics and Computing, March 2021, Shibpur, https://www.icmc2021.in/. - Benjamin Wesolowski and Ryan Williams:
Lower bounds for the depth of modular squaring.
HAL 3038044, 2022. - Benjamin Wesolowski:
A proof of time or knowledge.
HAL 3380471, 2022. - Benjamin Wesolowski:
The supersingular isogeny path and endomorphism ring problems are equivalent.
In: IEEE Symposium on Foundations of Computer Science — FOCS 2021
HAL, 2022.
To appear in FOCS 2021 in February 2022.
