Results 11 to 20 of about 260 (29)
Forum of Mathematics, SigmaPursuing ideas in [6], we determine the isometry classes of unimodular lattices of rank $28$ , as well as the isometry classes of unimodular lattices of rank $29$ without nonzero vectors of norm $\leq 2$ .
Bill Allombert, Gaëtan Chenevier
doaj +1 more source
First-degree prime ideals of composite extensions
Journal of Mathematical CryptologyLet Q(α){\mathbb{Q}}\left(\alpha ) and Q(β){\mathbb{Q}}\left(\beta ) be linearly disjoint number fields and let Q(θ){\mathbb{Q}}\left(\theta ) be their compositum.
Santilli Giordano, Taufer Daniele
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A Conjecture Connected with Units of Quadratic Fields [PDF]
, 2012 In this article, we consider the order $\mathcal{O}_{f}={x+yf\sqrt{d}:x,\ y \in \Z}$ with conductor $f\in\N$ in a real quadratic field $K=\mathbb{Q}(\sqrt{d})$ where $d>0$ is square-free and $d\equiv2,3\pmod 4$.
Bircan, Nihal
core
Computations of Galois Representations Associated to Modular Forms
, 2014 We propose an improved algorithm for computing mod $\ell$ Galois representations associated to a cusp form $f$ of level one. The proposed method allows us to explicitly compute the case with $\ell=29$ and $f$ of weight $k=16$, and the cases with $\ell=31$
Tian, Peng
core +1 more source
On the quantum security of high-dimensional RSA protocol
Journal of Mathematical CryptologyThe idea of extending the classical RSA protocol using algebraic number fields was introduced by Takagi and Naito (Construction of RSA cryptosystem over the algebraic field using ideal theory and investigation of its security.
Rahmani Nour-eddine +3 more
doaj +1 more source
On the faithfulness of parabolic cohomology as a Hecke module over a finite field
, 2006 In this article we prove conditions under which a certain parabolic group cohomology space over a finite field F is a faithful module for the Hecke algebra of Katz modular forms over an algebraic closure of F. These results can e.g.
Wiese, Gabor
core +1 more source
On the simplest sextic fields and related Thue equations [PDF]
, 2010 We consider the parametric family of sextic Thue equations \[ x^6-2mx^5y-5(m+3)x^4y^2-20x^3y^3+5mx^2y^4+2(m+3)xy^5+y^6=\lambda \] where $m\in\mathbb{Z}$ is an integer and $\lambda$ is a divisor of $27(m^2+3m+9)$.
Hoshi, Akinari
core
Risk factors for severe COVID-19 infection in Brazilian children. [PDF]
Braz J Infect Dis, 2021 Hendler JV +5 more
europepmc +1 more source
Trace of totally positive algebraic integers and integer transfinite diameter
Mathematics of Computation, 2008 V. Flammang
semanticscholar +1 more source
On the Resolution of Index form Equations in Sextic Fields with an Imaginary Quadratic Subfield
Journal of symbolic computation, 1996 I. Gaál, M. Pohst
semanticscholar +1 more source