On the elliptic curve y 2 = x 3 −2rDx and factoring integers

Author:

Li XiuMei,Zeng JinXiang

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference13 articles.

1. Bach E, Sorenson J. Explicit bounds for primes in residue classes. Math Comp, 1996, 65: 1717–1735

2. Birch B J, Stephens N M. The parity of the rank of the Mordell-Weil group. Topology, 1966, 5: 295–299

3. Bremner A, Silverman J H, Tzanakis N. Integral points in arithmetic progression on y 2 = x(x 2 − n 2). J Number Theory, 2000, 80: 187–208

4. Burhanuddin I A. Some computational problems motivated by the Birch and Swinnerton-Dyer conjecture. PhD. Thesis. California: University of Southern California, 2007

5. Dokchitser T. Notes on the parity conjecture. In: Hilbert Modular Forms and Galois Deformations Advanced Courses in Mathematics-CRM Barcelona. Basel: Springer, 2013, 201–249

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