Results 31 to 40 of about 2,036 (63)
Figurate primes and Hilbert's 8th problem
, 2014 In this paper, by using the theory of elliptic curves, we discuss several Diophantine equations related with the so-called figurate primes. Meanwhile, we raise several conjectures related with figurate primes and Hilbert's 8th problem, including Goldbach'
Cai, Tianxin +2 more
core +1 more source
On the rank of the fibers of elliptic K3 surfaces [PDF]
, 2013 Let $X$ be an elliptic K3 surface endowed with two distinct Jacobian elliptic fibrations $\pi_i$, $i=1,2$, defined over a number field $k$. We prove that there is an elliptic curve $C\subset X$ such that the generic rank over $k$ of $X$ after a base ...
Salgado, Cecilia
core
Constructing families of moderate-rank elliptic curves over number fields [PDF]
, 2017 We generalize a construction of families of moderate rank elliptic curves over $\mathbb{Q}$ to number fields $K/\mathbb{Q}$. The construction, originally due to Steven J.
Mehrle, David +4 more
core
Representation of modular invariant function by generators of a modular function field [PDF]
arXiv, 2005 We give a method of representing the modular invariant function by generators of a modular function field.
arxiv
A p-adic Height Function Of Cryptanalytic Significance [PDF]
arXiv, 2005 It is noted that an efficient algorithm for calculating a $p$-adic height could have cryptanalytic applications.
arxiv
Elliptic curves with good reduction away from 2: III [PDF]
arXiv, 1998 We list the elliptic curves defined over $Q(\sqrt 5)$ with good reduction away from 2. There are 368 isomorphism classes. We give a global minimal model for each class.
arxiv
Euler systems of K_2 of CM elliptic curves [PDF]
arXiv, 2000 We construct certain systems of elements in K_2 of CM elliptic curves. When the classnumber of the field of CM is 1, the image of this system under the regulator map forms an Euler system in the sense of Rubin.
arxiv
arXiv, 2002 We present certain norm-compatible systems in $K_2$ of function fields of some CM elliptic curves. We demonstrate that these systems have some properties similar to elliptic units.
arxiv
Divisibility in elliptic divisibility sequences [PDF]
arXiv, 2004 Certain elliptic divisibility sequences are shown to contain only finitely many prime power terms. In certain circumstances, the methods show only finitely many terms have length below a given bound.
arxiv
Massey products for elliptic curves of rank 1 [PDF]
, 2009 For an elliptic curve over Q of analytic rank 1, we use the level-two Selmer variety and secondary cohomology products to find explicit analytic defining equations for global integral points inside the set of p-adic points.
arxiv +1 more source