EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Previous Page 53 Next

Displaying 1041 – 1060 of 1560

Pythagorean primes and palindromic continued fractions.

Benjamin, Arthur T., Zeilberger, Doron (2005)

Integers

Pythagorean triangels and a quartic surface.

Andrew Bremner (1980)

Journal für die reine und angewandte Mathematik

Pythagorean triangles of equal areas.

Baica, Malvina (1988)

International Journal of Mathematics and Mathematical Sciences

Quadratic congruences on average and rational points on cubic surfaces

Stephan Baier, Ulrich Derenthal (2015)

Acta Arithmetica

We investigate the average number of solutions of certain quadratic congruences. As an application, we establish Manin's conjecture for a cubic surface whose singularity type is A₅ + A₁.

Quadratic Diophantine equation $x^{2} - (t^{2} - t) y^{2} - (4 t - 2) x + (4 t^{2} - 4 t) y = 0$ .

Özkoç, Arzu, Tekcan, Ahmet (2010)

Bulletin of the Malaysian Mathematical Sciences Society. Second Series

Quadratic diophantine equations with parameters

D. Lewis, Andrzej Schinzel (1980)

Acta Arithmetica

Quadratic Forms Which Have Only Large Zeros.

H.P. Schlickewei, W.M. Schmidt (1988)

Monatshefte für Mathematik

Quadratic integral solutions to double Pell equations

Francesco Veneziano (2011)

Rendiconti del Seminario Matematico della Università di Padova

Quartic diophantine chains

Ajai Choudhry, Jarosław Wróblewski (2007)

Acta Arithmetica

Quelques applications de nouveaux résultats de van der Poorten

Michel Langevin (1975/1976)

Séminaire Delange-Pisot-Poitou. Théorie des nombres

Quelques remarques à propos des invariants $c_{4}$ , $c_{6}$ et Δ d’une courbe elliptique

Alain Kraus (1989)

Acta Arithmetica

Questions d'analyse indéterminée

Édouard Lucas (1875)

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale

Questions proposées par M. Réalis (voir 3e série, t. II, p. 370)

Fauquembergue (1885)

Nouvelles annales de mathématiques : journal des candidats aux écoles polytechnique et normale

Quotients de suites holonomes

Abdelaziz Bellagh, Jean-Paul Bézivin (2011)

Annales de la faculté des sciences de Toulouse Mathématiques

Soit $G$ un sous-groupe du groupe multiplicatif de $ℂ$ , et $d \geq 1$ . On note $G_{d}$ l’ensemble des éléments de $ℂ$ s’écrivant $w_{1} + \dots + w_{d}$ avec $w_{j} \in G$ pour tout $j$ . Soient $u_{n}$ et $v_{n}$ deux suites de nombres complexes vérifiant des relations de récurrence à coefficients polynômes en la variable $n$ (suites holonomes), avec $v_{n} \neq 0$ pour $n$ assez grand. Dans cet article, nous nous intéressons au problème suivant :Soit $a_{n} = \frac{u_{n}}{v_{n}}$ , on suppose que pour un entier $d \geq 1$ , $a_{n}$ appartient à $G_{d}$ où $G$ est sous-groupe de type fini du groupe multiplicatif de $ℂ$ .A-t-on que la...

Random Thue and Fermat equations

Rainer Dietmann, Oscar Marmon (2015)

Acta Arithmetica

We consider Thue equations of the form $a x^{k} + b y^{k} = 1$ , and assuming the truth of the abc-conjecture, we show that almost all locally soluble Thue equations of degree at least three violate the Hasse principle. A similar conclusion holds true for Fermat equations $a x^{k} + b y^{k} + c z^{k} = 0$ of degree at least six.

Ranks of quadratic twists of elliptic curves

Mark Watkins, Stephen Donnelly, Noam D. Elkies, Tom Fisher, Andrew Granville, Nicholas F. Rogers (2014)

Publications mathématiques de Besançon

We report on a large-scale project to investigate the ranks of elliptic curves in a quadratic twist family, focussing on the congruent number curve. Our methods to exclude candidate curves include 2-Selmer, 4-Selmer, and 8-Selmer tests, the use of the Guinand-Weil explicit formula, and even 3-descent in a couple of cases. We find that rank 6 quadratic twists are reasonably common (though still quite difficult to find), while rank 7 twists seem much more rare. We also describe our inability to find...

Rational points on a subanalytic surface

Jonathan Pila (2005)

Annales de l’institut Fourier

Let $X \subset ℝ^{n}$ be a compact subanalytic surface. This paper shows that, in a suitable sense, there are very few rational points of $X$ that do not lie on some connected semialgebraic curve contained in $X$ .

Rational points on certain elliptic surfaces

Maciej Ulas (2007)

Acta Arithmetica

Rational points on certain quintic hypersurfaces

Maciej Ulas (2009)

Acta Arithmetica

Rational points on curves

Michael Stoll (2011)

Journal de Théorie des Nombres de Bordeaux

This is an extended version of an invited lecture I gave at the Journées Arithmétiques in St. Étienne in July 2009.We discuss the state of the art regarding the problem of finding the set of rational points on a (smooth projective) geometrically integral curve $C$ over $ℚ$ . The focus is on practical aspects of this problem in the case that the genus of $C$ is at least $2$ , and therefore the set of rational points is finite.

Currently displaying 1041 – 1060 of 1560

Previous Page 53 Next