[图书][B] The arithmetic of elliptic curves
JH Silverman - 2009 - Springer
The theory of elliptic curves is distinguished by its long history and by the diversity of the
methods that have been used in its study. This book treats the arithmetic theory of elliptic …
methods that have been used in its study. This book treats the arithmetic theory of elliptic …
[图书][B] Topics in Galois theory
JP Serre - 2016 - books.google.com
This book is based on a course given by the author at Harvard University in the fall semester
of 1988. The course focused on the inverse problem of Galois Theory: the construction of …
of 1988. The course focused on the inverse problem of Galois Theory: the construction of …
[图书][B] Finite Fields: Theory and Computation: The meeting point of number theory, computer science, coding theory and cryptography
I Shparlinski - 2013 - books.google.com
This book is mainly devoted to some computational and algorithmic problems in finite fields
such as, for example, polynomial factorization, finding irreducible and primitive polynomials …
such as, for example, polynomial factorization, finding irreducible and primitive polynomials …
Bornes effectives pour la torsion des courbes elliptiques sur les corps de nombres
P Parent - 1999 - degruyter.com
Bornes effectives pour la torsion des courbes elliptiques sur les corps de nombres Page 1 J.
reine angew. Math. 506 (1999), 85—116 Journal für die reine und angewandte Mathematik © …
reine angew. Math. 506 (1999), 85—116 Journal für die reine und angewandte Mathematik © …
Modeling the distribution of ranks, Selmer groups, and Shafarevich-Tate groups of elliptic curves
Using maximal isotropic submodules in a quadratic module over Z_p, we prove the
existence of a natural discrete probability distribution on the set of isomorphism classes of …
existence of a natural discrete probability distribution on the set of isomorphism classes of …
On the field of definition of-torsion points on elliptic curves over the rationals
Á Lozano-Robledo - Mathematische Annalen, 2013 - Springer
Let S_\mathbb Q (d) be the set of primes p for which there exists a number field K of degree
≤ d and an elliptic curve E/\mathbb Q, such that the order of the torsion subgroup of E (K) is …
≤ d and an elliptic curve E/\mathbb Q, such that the order of the torsion subgroup of E (K) is …
A linear lower bound on the gonality of modular curves
D Abramovich - arXiv preprint alg-geom/9609012, 1996 - arxiv.org
arXiv:alg-geom/9609012v1 16 Sep 1996 Page 1 arXiv:alg-geom/9609012v1 16 Sep 1996 A
linear lower bound on the gonality of modular curves Dan Abramovich1 Department of …
linear lower bound on the gonality of modular curves Dan Abramovich1 Department of …
[PDF][PDF] On the torsion of elliptic curves over cubic number fields
D Jeon, CH Kim, A Schweizer - Acta Arithmetica, 2004 - wstein.org
Actually, each of these groups occurs infinitely often as E (Q) tors.(By infinitely often in this
context we always mean for infinitely many absolutely non-isomorphic E, or in other words …
context we always mean for infinitely many absolutely non-isomorphic E, or in other words …
[图书][B] The rational function analogue of a question of Schur and exceptionality of permutation representations
RM Guralnick, P Müller, J Saxl - 2003 - books.google.com
Page 1 MEMOIRS of the American Mathematical Society Number 773 The Rational
Function Analogue of a Question of Schur and Exceptionality of Permutation …
Function Analogue of a Question of Schur and Exceptionality of Permutation …
Constructing elliptic curves over finite fields with prescribed torsion
A Sutherland - Mathematics of Computation, 2012 - ams.org
We present a method for constructing optimized equations for the modular curve $ X_1 (N) $
using a local search algorithm on a suitably defined graph of birationally equivalent plane …
using a local search algorithm on a suitably defined graph of birationally equivalent plane …