Results 11 to 20 of about 541 (49)
Generating pairing-friendly elliptic curve parameters using sparse families
Journal of Mathematical Cryptology, 2018 The majority of methods for constructing pairing-friendly elliptic curves are based on representing the curve parameters as polynomial families. There are three such types, namely complete, complete with variable discriminant and sparse families. In this
Fotiadis Georgios, Konstantinou Elisavet
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On curves over finite fields with Jacobians of small exponent
, 2008 We show that finite fields over which there is a curve of a given genus g with its Jacobian having a small exponent, are very rare. This extends a recent result of W. Duke in the case g=1.
Ford, Kevin, Shparlinski, Igor
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Correction to ‘Shifted convolution and the Titchmarsh divisor problem over Fq[t] [PDF]
, 2016 PublishedCorrection to original article: Phil. Trans. R. Soc. A 373, 20140308 (28 April 2015; Published online 23 March 2015) (doi:10.1098/rsta.2014.0308). Two of the equations in the original article contained a typographical error.
Andrade, JC, Bary-Soroker, L, Rudnick, Z
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Class number formulas via 2-isogenies of elliptic curves [PDF]
, 2012 A classical result of Dirichlet shows that certain elementary character sums compute class numbers of quadratic imaginary number fields. We obtain analogous relations between class numbers and a weighted character sum associated to a 2-isogeny of ...
McLeman, Cam, Rasmussen, Christopher
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Rudnick and Soundararajan's Theorem for Function Fields
, 2015 In this paper we prove a function field version of a theorem by Rudnick and Soundararajan about lower bounds for moments of quadratic Dirichlet $L$-functions.
Andrade, Julio
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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
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Mean Value Theorems for L-functions over Prime Polynomials for the Rational Function Field
, 2013 The first and second moments are established for the family of quadratic Dirichlet $L$--functions over the rational function field at the central point $s=\tfrac{1}{2}$ where the character $\chi$ is defined by the Legendre symbol for polynomials over ...
Andrade, Julio C., Keating, Jonathan P.
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Cohomology of rigid curves with semi-stable coverings
, 2014 We construct a semi-stable formal model of a wide open rigid curve with a semi-stable covering, and study the l-adic cohomology of the rigid curve.
Imai, Naoki, Tsushima, Takahiro
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Poisson distribution of a prime counting function corresponding to elliptic curves
, 2016 Let $E$ be an elliptic curve defined over rational field $\mathbb{Q}$ and $N$ be a positive integer. Now, $M_E(N)$ denotes the number of primes $p$, such that the group $E_p(\mathbb{F}_p)$ is of order $N$.
Balasubramanian, R., Giri, Sumit
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One- and Two-Point Codes over Kummer Extensions
, 2016 We compute the Weierstrass semigroup at one totally ramified place for Kummer extensions defined by $y^m=f(x)^{\lambda}$ where $f(x)$ is a separable polynomial over $\mathbb{F}_q$.
Masuda, Ariane M. +2 more
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