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Classification des formes quadratiques réelles: un contre-exemple à la finitude

David-Olivier Jaquet-Chiffelle, François Sigrist (1994)

Acta Arithmetica

1. Introduction. On doit à G. Voronoï [Vo] un algorithme de classification complète des formes quadratiques parfaites. Il est dès lors possible, en principe, de déterminer en un temps fini la constante d'Hermite γₙ, qui décrit dans ℝⁿ la densité maximale des empilements de sphères en réseau. L'énorme complexité de l'algorithme lui donne une limite naturelle: il semble actuellement impensable de dépasser la dimension 8, où les explorations ont déjà fourni des milliers de formes...

Classification en sous familles fermées de n-uples de nombres algébriques

Martine Pathiaux (1976/1977)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Classification of hermitian forms and semisimple gorups over fields of virtual cohomological dimension one.

Claus Scheiderer (1996)

Manuscripta mathematica

Classification of irreducible factorable polynomials over a finite field

Andrew Long (1967)

Acta Arithmetica

Classification of p-adic 6-dimensional filiform Leibniz algebras by solutions of x q = a

Manuel Ladra, Bakhrom Omirov, Utkir Rozikov (2013)

Open Mathematics

We study the p-adic equation x q = a over the field of p-adic numbers. We construct an algorithm which gives a solvability criteria in the case of q = p m and present a computer program to compute the criteria for any fixed value of m ≤ p − 1. Moreover, using this solvability criteria for q = 2; 3; 4; 5; 6, we classify p-adic 6-dimensional filiform Leibniz algebras.

Classification of the Primitive Representations of the Galois Group of Local Fields.

Helmut Koch (1977)

Inventiones mathematicae

Classification of two genera of 32-dimensional lattices of rank 8 over the Hurwitz order.

Bachoc, Christine, Nebe, Gabriele (1997)

Experimental Mathematics

Classification Theorems for Quadratic Forms over Fields

Richard Elman, T.Y. Lam (1974)

Commentarii mathematici Helvetici

Classifying Lehmer triples

Robert Juricevic (2009)

Acta Arithmetica

Clifford algebras, Möbius transformations, Vahlen matrices, and $B$ -loops

Jimmie Lawson (2010)

Commentationes Mathematicae Universitatis Carolinae

In this paper we show that well-known relationships connecting the Clifford algebra on negative euclidean space, Vahlen matrices, and Möbius transformations extend to connections with the Möbius loop or gyrogroup on the open unit ball $B$ in $n$ -dimensional euclidean space $ℝ^{n}$ . One notable achievement is a compact, convenient formula for the Möbius loop operation $a * b = (a + b) {(1 - a b)}^{- 1}$ , where the operations on the right are those arising from the Clifford algebra (a formula comparable to $(w + z) {(1 + \bar{w} z)}^{- 1}$ for the Möbius loop multiplication...

Clifford k-algebras and k*-groups.

Luzius Grunenfelder (1984)

Mathematische Zeitschrift

Closed Curves and Geodesics with Two Self-Intersections on the Punctured Torus.

D. Crisp, S. Dziadosz, D.J. Garity (1998)

Monatshefte für Mathematik

Closed form expressions for several Ramanujan sums

Shader, Leslie E. (1973)

Portugaliae mathematica

Closed geodesics, periods and arithmetic of modular forms.

Svetlana Katok (1985)

Inventiones mathematicae

Closed orbits of $(G, τ)$ -extension of ergodic toral automorphisms.

Noorani, Mohd.Salmi Md. (2003)

International Journal of Mathematics and Mathematical Sciences

Closed-form expression for Hankel determinants of the Narayana polynomials

Marko D. Petković, Paul Barry, Predrag Rajković (2012)

Czechoslovak Mathematical Journal

We considered a Hankel transform evaluation of Narayana and shifted Narayana polynomials. Those polynomials arises from Narayana numbers and have many combinatorial properties. A mainly used tool for the evaluation is the method based on orthogonal polynomials. Furthermore, we provided a Hankel transform evaluation of the linear combination of two consecutive shifted Narayana polynomials, using the same method (based on orthogonal polynomials) and previously obtained moment representation of Narayana...

CM liftings of supersingular elliptic curves

Ben Kane (2009)

Journal de Théorie des Nombres de Bordeaux

Assuming GRH, we present an algorithm which inputs a prime $p$ and outputs the set of fundamental discriminants $D < 0$ such that the reduction map modulo a prime above $p$ from elliptic curves with CM by $𝒪_{D}$ to supersingular elliptic curves in characteristic $p$ is surjective. In the algorithm we first determine an explicit constant $D_{p}$ so that $| D | > D_{p}$ implies that the map is necessarily surjective and then we compute explicitly the cases $| D | < D_{p}$ .

Currently displaying 221 – 240 of 902

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Displaying 221 – 240 of 902

Classification des formes quadratiques réelles: un contre-exemple à la finitude

Classification en sous familles fermées de n-uples de nombres algébriques

Classification of hermitian forms and semisimple gorups over fields of virtual cohomological dimension one.

Classification of irreducible factorable polynomials over a finite field

Classification of p-adic 6-dimensional filiform Leibniz algebras by solutions of x q = a

Classification of the Primitive Representations of the Galois Group of Local Fields.

Classification of two genera of 32-dimensional lattices of rank 8 over the Hurwitz order.

Classification Theorems for Quadratic Forms over Fields

Classifying Lehmer triples

Clifford algebras, Möbius transformations, Vahlen matrices, and $B$ -loops

Clifford k-algebras and k*-groups.

Closed Curves and Geodesics with Two Self-Intersections on the Punctured Torus.

Closed form expressions for several Ramanujan sums

Closed geodesics, periods and arithmetic of modular forms.

Closed orbits of $(G, τ)$ -extension of ergodic toral automorphisms.

Closed-form expression for Hankel determinants of the Narayana polynomials

CM liftings of supersingular elliptic curves

CM points and quaternion algebras.

CM-fields and exponents of their ideal class groups

CM-fields with all roots of unity

Currently displaying 221 – 240 of 902