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Elliptic geometry
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161	A GENERALIZATION OF THE CONGRUENT NUMBER PROBLEM LARRY ROLEN Abstract. We study a certain generalization of the classical Congruent Number Problem. Specifically, we study integer areas of rational triangles with an arbit Add to Reading List Source URL: web.archive.org Language: English Analytic number theory Elliptic curves Triangle geometry Diophantine equations Congruent number Pythagorean triple Riemann hypothesis Prime number Infinite descent Mathematics Abstract algebra Number theory
162	HIGHER DESCENT ON PELL CONICS. III. THE FIRST 2-DESCENT FRANZ LEMMERMEYER In [Lem2003b] we have sketched the historical development of problems related to Legendre’s equations ar2 − bs2 = 1 and the associated Pell eq Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-11-16 09:11:03 Field theory Algebraic curves Analytic geometry Algebraic number theory Analytic number theory Elliptic curve Conic section Pythagorean triple Finite field Abstract algebra Geometry Mathematics
163	Beitr¨age zur Algebra und Geometrie Contributions to Algebra and Geometry Volume[removed]), No. 1, [removed]Belyi’s Theorem Revisited Bernhard K¨ Add to Reading List Source URL: www.kurims.kyoto-u.ac.jp Language: English - Date: 2004-01-25 09:20:12 Group theory Covering space Homotopy theory Elliptic curve Automorphism Field extension Finite field Orbifold Proofs of quadratic reciprocity Abstract algebra Mathematics Algebra
164	THE PERIOD-INDEX PROBLEM IN WC-GROUPS III: BICONIC CURVES PETE L. CLARK Abstract. Add to Reading List Source URL: math.uga.edu Language: English - Date: 2008-11-18 23:12:39 Algebraic curves Vector bundles Algebraic surfaces Canonical bundle Riemann–Roch theorem Hyperelliptic curve Elliptic curve Ample line bundle Abelian variety Algebraic geometry Abstract algebra Geometry
165	CONICS - A POOR MAN’S ELLIPTIC CURVES FRANZ LEMMERMEYER Contents Introduction 1. Dramatis Personae: Conics and Elliptic Curves Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-05-18 04:50:24 Conic sections Curves Number theory Analytic geometry Analytic number theory Elliptic curve Birch and Swinnerton-Dyer conjecture Néron–Tate height Parabola Geometry Abstract algebra Algebraic geometry
166	Picard-Einstein Metrics and Class Fields Connected with Apollonius Cycle R-P. Holzapfel with Appendices by A. Pi~neiro, N. Vladov August 17, 1998 Add to Reading List Source URL: edoc.hu-berlin.de Language: English - Date: 2009-10-31 22:42:04 Projective geometry Elliptic curve Quadric Enriques–Kodaira classification Curve Circle Algebraic curve Kummer surface Lie sphere geometry Geometry Algebraic geometry Algebraic surfaces
167	© Jones and Bartlett Publishers. NOT FOR SALE OR DISTRIBUTION Non-Euclidean Geometry Topics to Accompany Euclidean and Transformational Geometry Melissa Jonhson & Shlomo Libeskind Add to Reading List Source URL: jwilson.coe.uga.edu Language: English - Date: 2009-01-17 18:12:24 Parallel postulate Giovanni Girolamo Saccheri Hyperbolic geometry Euclidean geometry Saccheri quadrilateral Elliptic geometry Nikolai Lobachevsky Right angle Spherical geometry Geometry Elementary geometry Non-Euclidean geometry
168	CONICS - A POOR MAN’S ELLIPTIC CURVES FRANZ LEMMERMEYER Contents Introduction 1. The Group Law on Pell Conics and Elliptic Curves Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-11-17 18:14:51 Conic sections Number theory Algebraic curves Analytic number theory Curves Elliptic curve Birch and Swinnerton-Dyer conjecture Degenerate conic Modular form Geometry Algebraic geometry Abstract algebra
169	A Weil Descent Attack against Elliptic Curve Cryptosystems over Quartic Extension Fields Seigo Arita∗ Kazuto Matsuo∗† Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2004-09-16 01:27:33 Group theory Analytic number theory Deduction Differential geometry Modular forms Elliptic curve Entailment Covering space Differential geometry of curves Abstract algebra Mathematics Topology
170	HIGH RANK ELLIPTIC CURVES WITH PRESCRIBED TORSION GROUP OVER QUADRATIC FIELDS JULIÁN AGUIRRE, ANDREJ DUJELLA, MIRELA JUKI BOKUN, AND JUAN CARLOS PERAL There are 26 possibilities for the torsion group of elliptic curve Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2014-07-23 10:58:32 Analytic number theory Elliptic curve Group theory Torsion subgroup Torsion tensor Torsion Analytic torsion Lenstra elliptic curve factorization Abstract algebra Differential geometry Curvature

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