AlgoL: Algorithmics of L-functions (2007-2011)

Publications

Actes de conférences internationales

1. «Fonctions L et arithmétique» (Besançon 2009),
2. «Théories des Nombres et Applications» (CIRM 2009).

Monographies

1. B. Edixhoven, J.-M. Couveignes (eds), R. de Jong, F. Merkl, J. Bosman : On the computation of coefficients of a modular form, Princeton Annals of Mathematics Studies 176, Princeton University Press, 2011.
2. D. Bertrand, P. Boalch, J.-M. Couveignes, P. Dèbes (eds.) : Geometric and differential Galois Theories, Séminaire et Congrès, volume 27, 2012.
3. P. Molin : Intégration numérique et calculs de fonctions L, Thèse, Université Bordeaux1, 2010.

Revues internationales à comité de lecture

1. B. Allombert et K. Belabas, Practical Aurifeuillian factorization, Journal de Théorie des Nombres de Bordeaux, Vol. 20, pp. 543-553, 2008.
2. K. Belabas, M. Bhargava, C. Pomerance Error estimates for the Davenport-Heilbronn theorems, Duke Math Journal, vol. 153 (1), 2010, pp. 173-210.
3. K. Belabas, E. Fouvry : Discriminants cubiques et progressions arithmétiques, International Journal of Number Theory, Vol. 6 (7), pp. 1491--1529, 2010.
4. A. Besser, P. Buckingham, R. de Jeu et X.-F. Roblot, On the p-adic Beilinson conjecture for number fields, Pure and Applied Mathematics Quaterly, Vol. 5, n°1, pp. 375-434, 2009.
5. J.-M. Couveignes. Linearizing torsion classes in the Picard group of algebraic curves over finite fields. Journal of Algebra, 321, pp. 2085-2118, 2009.
6. J.-M. Couveignes et R. Lercier. Elliptic periods for finite fields. Finite fields and their applications, 15, pp. 1-22, 2009.
7. J.-M. Couveignes et E. Hallouin : Global descent obstructions for varieties, Algebra and Number Theory, 5-4, pp. 431-463, 2011.
8. J.-M. Couveignes et J.-G. Kammerer : The geometry of flex tangents to a cubic curve and its parametrizations, Journal of Symbolic Computation, 4, pp. 266–281, 2012.
9. J.-M. Couveignes et R. Lercier : Fast construction of irreducible polynomials over finite fields, Israel Journal of Mathematics, à paraître.
10. J.-M. Couveignes, T. Ezome, R. Lercier: A faster pseudo-primality test Rendiconti del circolo matematico di Palermo, à paraître.
11. C. Delaunay et X.-F. Roblot : Regulators of rank one quadratic twists, Journal de Théorie des Nombres de Bordeaux, vol. 20, fasc. 3, pp. 601-624, 2008
12. C. Delaunay et C. Wuthrich : Self-points on elliptic curves of prime conductor, Int. J. Number Theory 5, no. 5, pp. 911-932, 2009.
13. C. Delaunay et C. Wuthrich : Some remarks on self-points on elliptic curves. Pub. Math. de Besançon , pp. 69-84, 2010.
14. C. Delaunay : Averages of groups involving p^l-rank and combinatorial identities, Journal of Number Theory 131, pp. 536-551, 2011.
15. C. Delaunay, E. Fricain, E. Mosaki et O. Robert : Zero free regions for Dirichlet series, Transactions of the American Mathematical Society (à paraître).
16. C. Delaunay, E. Fricain, E. Mosaki et O. Robert : Zero free regions for Dirichlet series II, Mathematische Zeitschrift (à paraître).
17. S. Duquesne : Traces of the Group Law on the Kummer Surface of a Curve of Genus 2 in Characteristic 2, Mathematics in Computer Science: Volume 3, Issue 2, pp. 173-183, 2010.
18. S. Duquesne : RNS arithmetic in F_{p^k} and application to fast pairing computation, Journal of Mathematical Cryptology 5, pp 51-88., 2011.
19. C. Maire, Cohomology of number fied and analytic pro-p-groups, Moscow Mathematical Journal (10), pp 399-414, 2010.
20. C. Maire, Plongements locaux et extensions de corps de nombres, International Journal of Number Theory, pp. 721-738, 2011.
21. C. Maire, Sur la structure Galoisienne de certaines pro-p-extensions de corps de nombres, Mathematische Zeitschrift (267), pp 887-913, 2011.
22. J.-F. Jaulent, C. Maire et G. Perbet :, Sur les formules asymptotiques le long des Z_l-extensions, Annales des Sciences Mathématiques du Québec, à paraître.
23. M. Einsiedler, E. Lindenstrauss, P. Michel, et A. Venkatesh : Distribution of periodic torus orbits on homogeneous spaces I., Duke Math. Journal 148, no. 1, pp. 119-174, 2009.
24. J. Bourgain, E. Lindenstrauss, P. Michel, et A. Venkatesh : Some effective results for × a × b, Ergodic Theory and Dynamical Systems 29 , no. 6, pp. 1705-1722, 2009
25. P. Michel et A. Venkatesh : The subconvexity problem for GL2, Publ. Math. IHES 111, no. 1, pp. 171-280, 2010.
26. V. Blomer et P. Michel : Supnorms of functions on union of ellipsoids, IMRN Vol 2011, no 11, pp. 4934-4966, 2011.
27. M. Einsiedler, E. Lindenstrauss, P. Michel, et A. Venkatesh : Distribution of periodic torus orbits on homogeneous spaces III: Duke’s theorem for cubic fields., Ann. of Math. 173 , no. 2, pp. 815-885, 2011.
28. M. Einsiedler, E. Lindenstrauss, P. Michel, et A. Venkatesh : Distribution of periodic torus orbits on homogeneous spaces II: Duke’s theorem for quadratic fields., L’Ens. Math. (à paraître).
29. P. Michel et D. Ramakrishnan : Consequences of the Gross/Zagier formulae: Stability of average L-values, subconvexity, and non-vanishing mod p., Serge Lang memorial volume (à paraître).
30. X.-F. Roblot et D. Solomon, Testing the Congruence Conjecture for Rubin-Stark Elements, Journal of Number Theory, Vol. 130, pp. 1374-1398, 2010.
31. X.-F. Roblot et A. Weiss : Numerical evidence toward a 2-adic equivariant "main conjecture", Experimental Mathematics 20, pp. 169-176, 2011.

Conférences internationales

1. S. Duquesne : Montgomery Ladder for Genus 2 Curves in Characteristic 2, WAIFI 2008, Lecture Notes in Computer Sciences, 5130, pp. 174-188, 2008.
2. R. Cheung, S. Duquesne, J. Fan, N. Guillermin, I. Verbauwhede et G. Yao : FPGA Implementation of Pairings Using Residue Number System and Lazy Reduction, CHES 2011, Lecture Notes in Computer Science 6917 (2011), pp. 421-441.
3. S. Duquesne et E. Fouotsa : Tate Pairing Computation on Jacobi's Elliptic Curves, Pairing 2012, Lecture Notes in Computer Science (à paraître).