Congruent number

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11

Daily Dilemma #11: Answer Key 1. The shapes in A, B and C are congruent because the two shapes in each pair has the same size and shape. 2. He put 1/3 of 1/2 of the lenses in the drawer. So 1/6 of the total number of

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Source URL: fcit.usf.edu

- Date: 2013-01-07 16:31:13
    12Analytic number theory / Elliptic curves / Triangle geometry / Diophantine equations / Congruent number / Pythagorean triple / Riemann hypothesis / Prime number / Infinite descent / Mathematics / Abstract algebra / Number theory

    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

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    Source URL: web.archive.org

    Language: English
    13Analytic number theory / Symbol / Quadratic reciprocity / Elliptic curve / Spectral theory of ordinary differential equations / Μ operator / Abstract algebra / Mathematics / Number theory

    SOME FAMILIES OF NON-CONGRUENT NUMBERS FRANZ LEMMERMEYER Abstract. In this article we study the Tate-Shafarevich groups corresponding to 2-isogenies of the curve Ek : y 2 = x(x2 − k2 ) and construct infinitely many exa

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    Source URL: www.fen.bilkent.edu.tr

    Language: English - Date: 2003-09-11 11:03:50
    14Analytic number theory / Number theory / Group theory / Elliptic curve / Modular forms / Finite fields / Birch and Swinnerton-Dyer conjecture / Algebraic number field / Complex multiplication / Abstract algebra / Mathematics / Mathematical analysis

    CONGRUENT NUMBERS, ELLIPTIC CURVES, AND MODULAR FORMS GUY HENNIART 1. Invitation to the voyage An integer n ≥ 1 is called congruent if it is the area of a right triangle

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    Source URL: www.fen.bilkent.edu.tr

    Language: English - Date: 2003-09-11 11:03:29
    15Number theory / Analytic number theory / Elliptic curves / Group theory / Birch and Swinnerton-Dyer conjecture / Congruent number / Exponentiation / Angle / Curve / Mathematics / Abstract algebra / Geometry

    ON THE HIGH RANK π/3 AND 2π/3-CONGRUENT NUMBER ELLIPTIC CURVES A. S. JANFADA, S. SALAMI, A. DUJELLA, AND J. C. PERAL Abstract. Consider the elliptic curves given by

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    Source URL: bib.irb.hr

    Language: English - Date: 2012-10-20 07:52:34
    16Number theory / Diophantine geometry / Analytic number theory / Elliptic curves / Modular forms / Birch and Swinnerton-Dyer conjecture / Tate–Shafarevich group / Heegner point / Congruent number / Mathematics / Abstract algebra / Algebraic geometry

    William A. Stein – Curriculum Vitae – Oct[removed]0925

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    Source URL: interact.sagemath.org

    Language: English - Date: 2014-10-21 13:26:03
    17Analytic number theory / Elliptic curve / Group theory / Number theory / Pythagorean theorem / Birch and Swinnerton-Dyer conjecture / Congruent number / Mathematics / Abstract algebra / Geometry

    Elliptic Curves & Number Theory R. Sujatha School of Mathematics TIFR 1

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    Source URL: www.ias.ac.in

    Language: English - Date: 2005-07-28 02:53:29
    18Identifiers / Number theory / Floors / Storey / Stairway / Number / Pi / 24 Game / Square number / Mathematics / Mathematical analysis / Building

    Warm-Up 6 1. Twenty-five congruent circles are cut from a 10-inch by 10-inch sheet of paper. What is the greatest possible number of square inches in the combined area of the twenty-five circles? Express your answer in t

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    Source URL: www.agmath.com

    Language: English - Date: 2014-04-03 18:02:15
    19Identifiers / Number theory / Floors / Storey / Stairway / Number / Pi / 24 Game / Square number / Mathematics / Mathematical analysis / Building

    Warm-Up 6 1. Twenty-five congruent circles are cut from a 10-inch by 10-inch sheet of paper. What is the greatest possible number of square inches in the combined area of the twenty-five circles? Express your answer in t

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    Source URL: agmath.com

    Language: English - Date: 2014-04-03 18:02:15
    20Mathematics / Elliptic curve / Modular form / Artin reciprocity law / Vehicle Identification Number / Theta function / Lenstra elliptic curve factorization / Mathematical analysis / Abstract algebra / Analytic number theory

    CONGRUENT NUMBERS AND HEEGNER POINTS arXiv:1210.8231v1 [math.NT] 31 Oct 2012

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    Source URL: arxiv.org

    Language: English - Date: 2012-10-31 20:14:24
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