Dynamic Key-Aggregate Cryptosystem on Elliptic Curves for Online Data Sharing Sikhar Patranabis, Yash Shrivastava and Debdeep Mukhopadhyay Department of Computer Science and Engineering Indian Institute of Technology Kha

Source URL: eprint.iacr.org

Journal de Th´eorie des Nombres de Bordeaux), 23–43 On uniform lower bound of the Galois images associated to elliptic curves par Keisuke ARAI

Source URL: almira.math.u-bordeaux.fr

Requirements for Elliptic Curves for High-Assurance Applications Manfred Lochter, Johannes Merkle, Jörn-Marc Schmidt, Torsten Schütze Background

Source URL: csrc.nist.gov

Improving the Complexity of Index Calculus Algorithms in Elliptic Curves over Binary Fields Jean-Charles Faugère1, , Ludovic Perret1, , Christophe Petit2, , and Guénaël Renault1, 1

Source URL: www.uclouvain.be

Congruent Numbers Kent E. Morrison Here are the first 10 congruent numbers along with the side lengths of the associated right triangles. n 5

Source URL: www.aimath.org

• Elliptic curves
• Number theory
• Triangle geometry
• Group theory
• Analytic number theory
• Congruent number
• Birch and Swinnerton-Dyer conjecture
• Heegner point
• Prime number
• Shape
• Heegner
• Bryan John Birch

arXiv:0708.3942v1 [math.NT] 29 AugOn the modularity of supersingular elliptic curves over certain totally real number fields Frazer Jarvis and Jayanta Manoharmayum∗

Source URL: www.afjarvis.staff.shef.ac.uk

Explicit Algorithms for Humbert Surfaces David Gruenewald A thesis submitted in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Pure Mathematics at the University of Sydney, December 2008

Source URL: echidna.maths.usyd.edu.au

• Abelian varieties
• Algebraic surfaces
• Analytic number theory
• Algebraic curves
• Bernhard Riemann
• Humbert surface
• Modular form
• Elliptic curve
• Complex multiplication
• Shimura variety
• AppellHumbert theorem
• Abelian surface

Toric forms of elliptic curves and their arithmetic Wouter Castryck Celestijnenlaan 200BHeverlee (Leuven) - Belgium Frederik Vercauteren

Source URL: homes.esat.kuleuven.be

REDUCTIONS OF POINTS ON ELLIPTIC CURVES AMIR AKBARY, DRAGOS GHIOCA, AND V. KUMAR MURTY Abstract. Let E be an elliptic curve defined over Q. Let Γ be a subgroup of rank r of the ¯ be the reduction group of rational poin

Source URL: www.cs.uleth.ca

Descending Rational Points on Elliptic Curves to Smaller Fields Amir Akbary ∗ and V. Kumar Murty †

Source URL: www.cs.uleth.ca