2024
Preprints
- Adamczewski, Boris; Bostan, Alin; Caruso, Xavier:
A sharper multivariate Christol's theorem with applications to diagonals and Hadamard products.
HAL 4116793, 2024. - Allombert, Bill; Mayer, Daniel:
Cyclic cubic number fields with harmonically balanced capitulation.
HAL 4324884, 2024. - Arpin, Sarah; Clements, James; Dartois, Pierrick; Eriksen, Jonathan Komada; Kutas, Péter; Wesolowski, Benjamin:
Finding Orientations of Supersingular Elliptic Curves and Quaternion Orders.
HAL 4186188, 2024. - Asuncion, Jared:
Computing the Hilbert Class Fields of Quartic CM Fields Using Complex Multiplication.
HAL 3210279, 2024. - Barbulescu, Razvan; Jouve, Florent:
ECM and the Elliott–Halberstam conjecture for quadratic fields.
HAL 3485435, 2024. - Barbulescu, Razvan:
(Non)practicabilité de l'algorithme classique-quantique de factorisation des entiers.
HAL 3483274, 2024. - Barbulescu, Razvan; El Mrabet, Nadia; Ghammam, Loubna:
A taxonomy of pairings, their security, their complexity.
HAL 2129868, 2024. - Belabas, Karim; Perrin-Riou, Bernadette:
Symboles modulaires surconvergents et fonctions $L$ $p$-adiques.
HAL 3112844, 2024. - Bostan, Alin; Caruso, Xavier; Roques, Julien:
Algebraic solutions of linear differential equations: an arithmetic approach.
HAL 4065092, 2024.
To appear in Bulletin of the AMS. - Caruso, Xavier; Leudière, Antoine:
Algorithms for computing norms and characteristic polynomials on general Drinfeld modules.
HAL 4151171, 2024. - Caruso, Xavier; Mezzarobba, Marc; Takayama, Nobuki; Vaccon, Tristan:
Fast evaluation of some $p$-adic transcendental functions.
HAL 3263044, 2024. - Cohen, Henri:
Computing $L$-Functions of Quadratic Characters at Negative Integers.
HAL 3139244, 2024. - Cohen, Henri:
Elementary Continued Fractions for Linear Combinations of Zeta and L Values.
HAL 3935509, 2024. - Cohen, Henri:
Parametric Continued Fractions for $π^2$, $ζ(3)$, and other Constants.
HAL 4223108, 2024. - Cohen, Henri; Guillera, Jesús:
Rational Hypergeometric Ramanujan Identities for $1/\pi^c$: Survey and Generalizations.
HAL 3139250, 2024. - Couveignes, Jean-Marc; Gasnier, Jean:
Explicit Riemann-Roch spaces in the Hilbert class field.
HAL 4219975, 2024. - Dartois, Pierrick; Leroux, Antoine; Robert, Damien; Wesolowski, Benjamin:
SQISignHD: New Dimensions in Cryptography.
HAL 4056062, 2024. - Dartois, Pierrick; Maino, Luciano; Pope, Giacomo; Robert, Damien:
An Algorithmic Approach to (2, 2)-isogenies in the Theta Model and Applications to Isogeny-based Cryptography.
HAL 4297088, 2024. - Eid, Élie:
Computing isogenies between Jacobians of hyperelliptic curves of arbitrary genus via differential equations.
HAL 3142205, 2024. - Enge, Andreas; Streng, Marco:
Schertz style class invariants for quartic CM fields.
HAL 1377376, 2024. - Gasnier, Jean; Guillevic, Aurore:
An Algebraic Point of View on the Generation of Pairing-Friendly Curves.
HAL 4205681, 2024. - van der Hoeven, Joris; Johansson, Fredrik:
Fast multiple precision exp(x) with precomputations.
HAL 4454093, 2024. - Johansson, Fredrik:
On a fast and nearly division-free algorithm for the characteristic polynomial.
HAL 3016034, 2024. - Johansson, Fredrik:
Rapid computation of special values of Dirichlet $L$-functions.
HAL 3386620, 2024. - Johansson, Fredrik:
Computing elementary functions using multi-prime argument reduction.
HAL 3714660, 2024. - Kieffer, Jean; Page, Aurel; Robert, Damien:
Computing isogenies from modular equations in genus two.
HAL 2436133, 2024. - Lubicz, David; Robert, Damien:
Linear representation of endomorphisms of Kummer varieties.
HAL 3204365, 2024. - Maiga, Abdoulaye; Robert, Damien:
Computing the Canonical Lift of Genus 2 Curves in Odd Characteristics.
HAL 3738314, 2024. - Maiga, Abdoulaye; Robert, Damien:
Towards computing canonical lifts of ordinary elliptic curves in medium characteristic.
HAL 3702658, 2024. - Page, Aurel; Wesolowski, Benjamin:
The supersingular Endomorphism Ring and One Endomorphism problems are equivalent.
HAL 4209824, 2024. - Robert, Damien:
Some applications of higher dimensional isogenies to elliptic curves.
HAL 3943973, 2024. - Robert, Damien:
The geometric interpretation of the Tate pairing and its applications.
HAL 4295743, 2024. - Wesolowski, Benjamin; Williams, Ryan:
Lower bounds for the depth of modular squaring.
HAL 3038044, 2024. - Wilke, Anne-Edgar:
Convexity, plurisubharmonicity and the strong maximum modulus principle in Banach spaces.
HAL 3826538, 2024.