Results 191 to 200 of about 198,499,059 (216)

Discrete universality of the L-functions of elliptic curves

Siberian Mathematical Journal, 2008
Summary: A discrete universality theorem is obtained in the Voronin sense for the \(L\)-functions of elliptic curves. We use the difference of an arithmetical progression \(h > 0\) such that \(\text{exp}\,(2\pi k/h)\) is rational for some \(k \neq 0\). A limit theorem in the space of analytic functions plays a crucial role in the proof.
Garbaliauskienė, Virginija, Genys, Jonas, Laurinčikas, Antanas   +2 more
openaire   +2 more sources

Hashing with Elliptic Curve L-Functions

2012
In this paper, we show that the L-functions attached to Elliptic curves are good candidates to construct a hash function which can be used as a MAC for cryptographic purpose. This is actually due to the fact that they present a one way computation of the coefficients aL.
Sami Omar, Raouf Ouni, Saber Bouanani
openaire   +1 more source

Note on equality of L -functions of elliptic curves

Archiv der Mathematik, 1998
We study the equality L(A, K, s)=L(B, M, s) where A, B are elliptic curves defined over Q, and K, M Galois number fields. Using Faltings theorem on isogenies of abelian varieties, Serre theorem on supersingular reduction of elliptic curves and properties of Weil functor of restriction of scalars, the equality is described completely.
openaire   +3 more sources

Value distribution of twists of L-functions of elliptic curves

Proceedings of the Steklov Institute of Mathematics, 2017
The paper is devoted to the universality of \(L\)-functions associated with elliptic curves. Let \(E\) be an elliptic curve over the field of rational numbers defined by the Weierstrass equation \[ y^2=x^3+ax+b,\qquad a,b\in \mathbb{Z}, \] with nonzero discriminant \(\Delta=-16(4a^3+27b^2)\). Given a prime \(p\), denote by \(E_p\) the reduction modulo \
Laurinčikas, Antanas, Macaitiene, Renata   +1 more
openaire   +1 more source

L-Functions of Universal Elliptic Curves Over Igusa Curves

American Journal of Mathematics, 1990
This paper is concerned with computing the L-functions of the title in terms of modular forms. Because one can produce zeros of these L-functions, they seem to provide interesting test cases for various conjectures relating L-functions to cycles. In the first three sections we state the theorem, review some consequences, and give a brief sketch of the ...
openaire   +1 more source

L-Functions of Elliptic Curves and Modular Forms

2004
In the previous chapter we examined representations of Galois groups of global fields into GL(n, ℂ), and their L-functions. Such representations are necessarily of finite image. We saw at the end that an important example is supplied by modular forms of weight 1.
openaire   +1 more source

An Elliott-type theorem for twists of L-functions of elliptic curves

Mathematical Notes, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

The Hasse—Weil L-Function of an Elliptic Curve

1984
At the end of the last chapter, we used reduction modulo p to find some useful information about the elliptic curves E n : y 2 = x 3 -- n 2 x and the congruent number problem.
openaire   +1 more source

On the Vanishing of Twisted L-Functions of Elliptic Curves

Experimental Mathematics, 2004
Chantal David, Jack Fearnley
exaly  

L FUNCTION OF AN ELLIPTIC CURVE

2018
openaire   +1 more source