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Abstract analytic number theory
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331	Stark–Heegner points and special values of L-series Massimo Bertolini Henri Darmon Samit Dasgupta May 23, 2006 Add to Reading List Source URL: people.ucsc.edu Language: English - Date: 2008-09-13 15:51:54 Mathematics Group theory Symbol Elliptic curve Modular forms Orbifold Mathematical analysis Analytic number theory Abstract algebra
332	APPLICATION OF COVERING TECHNIQUES TO FAMILIES OF CURVES E.V. FLYNN AND J. REDMOND Abstract. Much success in finding rational points on curves has been obtained by using Chabauty’s Theorem, which applies when the genus Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic curves Elliptic curves Analytic number theory Group theory Diophantine geometry Abelian variety Modular curve Genus of a multiplicative sequence Isogeny Abstract algebra Algebraic geometry Algebra
333	p-adic interpolation of half-integral weight modular forms Adriana Sofer [removed] 1 Add to Reading List Source URL: rene.ma.utexas.edu Language: English - Date: 2006-08-24 12:30:01 Field theory Analytic number theory Algebraic number theory Modular forms Q-analogs Algebraic number field Elliptic curve Theta function P-adic number Abstract algebra Mathematics Mathematical analysis
334	CYCLES OF QUADRATIC POLYNOMIALS AND RATIONAL POINTS ON A GENUS 2 CURVE E. V. FLYNN, BJORN POONEN, AND EDWARD F. SCHAEFER Abstract. It has been conjectured that for N sufficiently large, there are no quadratic polynomials Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic curves Field theory Analytic number theory Algebraic number theory Vector bundles Elliptic curve Algebraic number field Polynomial Ample line bundle Abstract algebra Algebra Mathematics
335	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
336	p-adic interpolation of square roots of central values of Hecke L-functions Adriana Sofer Math Department, Princeton University [removed] March 24, 2000 Add to Reading List Source URL: rene.ma.utexas.edu Language: English - Date: 2006-08-24 12:45:34 Analytic number theory Group theory Modular forms Complex analysis Valuation Symbol Congruence subgroup Branch point Orbifold Abstract algebra Mathematical analysis Mathematics
337	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
338	CANONICAL HEIGHTS ON THE JACOBIANS OF CURVES OF GENUS 2 AND THE INFINITE DESCENT E.V. FLYNN AND N.P. SMART Abstract. We give an algorithm to compute the canonical height on a Jacobian of a curve of genus 2. The computati Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:36 Algebraic number theory Analytic number theory Elliptic curve Group theory Kummer surface Algebraic number field P-adic number Prime number Abstract algebra Mathematics Field theory
339	Finding Rational Points on Bielliptic Genus 2 Curves E. Victor Flynn, Mathematical Institute, University of Oxford Joseph L. Wetherell†, Department of Mathematics, University of Southern California Abstract We discuss Add to Reading List Source URL: people.maths.ox.ac.uk Language: English* - Date: 2006-07-08 18:57:36 Elliptic curves Elliptic curve Elliptic curve cryptography Constructible universe Finite fields Abstract algebra Analytic number theory Group theory
340	Solving Diophantine Problems on Curves via Descent on the Jacobian E. V. Flynn, Mathematical Institute, University of Oxford §0. Introduction The theory of Jacobians of curves has largely been developed in a vacuum, wit Add to Reading List Source URL: people.maths.ox.ac.uk Language: English - Date: 2006-07-08 18:57:37 Abelian varieties Algebraic curves Elliptic curves Diophantine geometry Analytic number theory Mordell–Weil theorem Kummer surface Dual abelian variety Isogeny Abstract algebra Algebraic geometry Geometry

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