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Modular curve
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141	Heegner points and Sylvester’s conjecture Samit Dasgupta and John Voight Abstract. We consider the classical Diophantine problem of writing positive integers n as the sum of two rational cubes, i.e. n = x3 + y 3 for x, Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:52:13 Algebraic number theory Elliptic curves Number theory Group theory Heegner point Modular form Birch and Swinnerton-Dyer conjecture Prime number Classical modular curve Abstract algebra Mathematics Analytic number theory
142	Descent via Isogeny in Dimension 2 E. V. Flynn, Mathematical Institute, University of Oxford Abstract A technique of descent via 4-isogeny is developed on the Jacobian of a curve of genus 2 of the form: Y 2 = q1 (X)q2 (X Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:37 Analytic number theory Algebraic curves Elliptic curve Group theory Symbol Abelian variety Quadratic form Constructible universe Classical modular curve Algebraic geometry Abstract algebra Algebra
143	DESCENT VIA ISOGENY ON ELLIPTIC CURVES WITH LARGE RATIONAL TORSION SUBGROUPS E.V. FLYNN AND C. GRATTONI Abstract. We outline PARI programs which assist with various algorithms related to descent via isogeny on elliptic c Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2009-08-31 00:19:19 Analytic number theory Group theory Elliptic curves Algebraic number field Birch and Swinnerton-Dyer conjecture Classical modular curve Golden ratio base Abstract algebra Mathematics Number theory
144	Annals of Mathematics, [removed]), 301–346 Elliptic units for real quadratic ﬁelds By Henri Darmon and Samit Dasgupta Contents Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:56:54 Analytic number theory Modular forms Riemann surfaces Algebraic number theory Group theory Symbol Elliptic curve Valuation Kronecker limit formula Abstract algebra Mathematics Algebra
145	Riemann Surfaces This course on Riemann surfaces assumes that the reader is familiar with sheaf theory. 1 Add to Reading List Source URL: www.math.rug.nl Language: English - Date: 2004-04-19 07:18:04 Algebraic topology Modular forms Homotopy theory Riemann surfaces Group theory Covering space Modular curve Fuchsian group Valuation Abstract algebra Mathematics Topology
146	Ann. Scient. Éc. Norm. Sup., 4e série, t. 38, 2005, p. 427 à 469. STARK–HEEGNER POINTS ON MODULAR JACOBIANS B Y S AMIT DASGUPTA A BSTRACT. – We present a construction which lifts Darmon’s Stark–Heegner points Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:55:09 Analytic number theory Algebraic curves Algebraic number theory Modular forms Valuation Modular curve Riemann surface Elliptic curve P-adic number Abstract algebra Geometry Field theory
147	LARGE RATIONAL TORSION ON ABELIAN VARIETIES E. V. Flynn, Mathematical Institute, University of Oxford Abstract A method of searching for large rational torsion on Abelian varieties is described. A few explicit applicatio Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic curves Elliptic curve Torsion Canonical bundle Abelian variety Modular curve Divisor Linear system of divisors Rational point Abstract algebra Algebraic geometry Geometry
148	MATHEMATICS OF COMPUTATION Volume 00, Number 0, Pages 000–000 S[removed]XX[removed]EMPIRICAL EVIDENCE FOR THE BIRCH AND SWINNERTON-DYER CONJECTURES FOR MODULAR JACOBIANS OF GENUS 2 CURVES Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic curves Number theory Elliptic curves Diophantine geometry Analytic number theory Birch and Swinnerton-Dyer conjecture Tate–Shafarevich group Abelian variety Modular curve Abstract algebra Algebraic geometry Mathematics
149	TOWARDS QUANTUM-RESISTANT CRYPTOSYSTEMS FROM SUPERSINGULAR ELLIPTIC CURVE ISOGENIES ´ OME ˆ ˆ LUCA DE FEO, DAVID JAO, AND JER Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2012-07-04 11:29:25 Elliptic curves Group theory Supersingular elliptic curve Isogeny Dual abelian variety Localization of a category Classical modular curve Abstract algebra Algebraic geometry Analytic number theory
150	The Mandelbrot Set as a Modular Form Linas Vepstas 2 January 2005 (revised 30 May 2005) Abstract An exploration of the interior or the Mandelbrot Set and the appearance of functions appearing to be simi Add to Reading List Source URL: www.linas.org Language: English - Date: 2005-05-30 01:09:59 Analytic number theory Mathematical series Complex dynamics Calculus Mandelbrot set Series Modular form Summation Elliptic curve Mathematical analysis Mathematics Fractals

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