Large families of elliptic curve pseudorandom binary sequences
Huaning Liu, Tao Zhan, Xiaoyun Wang (2009)
Acta Arithmetica
Similarity:
Displaying similar documents to “On the square-free sieve”
Large families of elliptic curve pseudorandom binary sequences
Generators and integer points on the elliptic curve y² = x³ - nx
Yasutsugu Fujita, Nobuhiro Terai (2013)
Acta Arithmetica
Similarity:
Let E be an elliptic curve over the rationals ℚ given by y² = x³ - nx with a positive integer n. We consider first the case where n = N² for a square-free integer N. Then we show that if the Mordell-Weil group E(ℚ ) has rank one, there exist at most 17 integer points on E. Moreover, we show that for some parameterized N a certain point P can be in a system of generators for E(ℚ ), and we determine the integer points in the group generated by the point P and the torsion points. Secondly,...
From the elliptic regulator to exotic relations.
Touafek, Nouressadat (2008)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
Similarity:
The existence of infinitely many supersingular primes for every elliptic curve over Q.
N.D. Elkies (1987)
Inventiones mathematicae
Similarity:
Some families of non-congruent numbers
Franz Lemmermeyer (2003)
Acta Arithmetica
Similarity:
A Lax formalism for the elliptic difference Painlevé equation.
Yamada, Yasuhiko (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
Similarity:
Elliptic Carmichael numbers and elliptic Korselt criteria
Joseph H. Silverman (2012)
Acta Arithmetica
Similarity:
On the number of large integer points on elliptic curves
P. G. Walsh (2009)
Acta Arithmetica
Similarity:
Reductions of an elliptic curve with almost prime orders
Alina Carmen Cojocaru (2005)
Acta Arithmetica
Similarity:
The uniform primality conjecture for elliptic curves
Graham Everest, Patrick Ingram, Valéry Mahé, Shaun Stevens (2008)
Acta Arithmetica
Similarity:
The Ljunggren equation revisited
Konstantinos A. Draziotis (2007)
Colloquium Mathematicae
Similarity:
We study the Ljunggren equation Y² + 1 = 2X⁴ using the "multiplication by 2" method of Chabauty.
Square-free values of n² + 1
D. R. Heath-Brown (2012)
Acta Arithmetica
Similarity:
On the division polynomials of elliptic curves.
J. González (2000)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Similarity:
Ranks of quadratic twists of an elliptic curve
Dongho Byeon (2004)
Acta Arithmetica
Similarity:
A remark about elliptic overdeterminated systems
Giuliano Bratti (1977)
Rendiconti del Seminario Matematico della Università di Padova
Similarity:
Calculating Root Numbers of Elliptic curves over Q.
Ian Connell (1994)
Manuscripta mathematica
Similarity:
A note on arithmetic progressions on elliptic curves.
Campbell, Garikai (2003)
Journal of Integer Sequences [electronic only]
Similarity: