Analytic number theory

Results: 1184



#Item
381Elliptic curves / Analytic number theory / Curvature / Differential geometry / Abelian varieties / Torsion subgroup / Torsion / Mordell–Weil theorem / Modular form / Abstract algebra / Mathematics / Mathematical analysis

Elliptic curves over quadratic fields with fixed torsion subgroup and positive rank Mirela Juki´c Bokun Abstract For each of the torsion groups Z/2Z⊕Z/10Z, Z/2Z⊕Z/12Z, Z/15Z

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Source URL: bib.irb.hr

Language: English - Date: 2014-07-23 10:55:12
382Number theory / Elliptic curve / Group theory / W2 / Integer triangle / W postcode area / Néron–Tate height / Heronian triangle / W4 / Mathematics / Geometry / Analytic number theory

ELLIPTIC CURVES COMING FROM HERON TRIANGLES ANDREJ DUJELLA AND JUAN CARLOS PERAL Triangles having rational sides a, b, c and rational area Q are called Heron triangles. Associated to each Heron triangle is the quartic A

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Source URL: bib.irb.hr

Language: English - Date: 2012-10-20 07:54:38
383Group theory / Sumset / Pythagorean triple / Number theory / Exponentiation / Mathematics / Analytic number theory / Elliptic curve

Sumsets being squares Andrej Dujella, Christian Elsholtz March 4, 2013 Abstract Alon, Angel, Benjamini and Lubetzky recently studied an old problem of Euler on sumsets for which all elements of A + B are integer squares.

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Source URL: bib.irb.hr

Language: English - Date: 2013-07-02 04:18:08
384Matrix theory / Spectral theory / Analytic number theory / Determinant / Trace / Riemann zeta function / Spectrum / Eigenvalues and eigenvectors / Matrix / Algebra / Mathematics / Linear algebra

Chapter 22 Spectral determinants “It seems very pretty,” she said when she had finished it, “but it’s rather hard to understand!” (You see she didn’t like to confess, even to herself, that she couldn’t mak

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Source URL: chaosbook.org

Language: English - Date: 2015-02-02 06:54:11
385Niels Henrik Abel / Homotopy theory / Algebraic topology / Analytic number theory / Abelian variety / Free abelian group / Valuation / Index of a subgroup / Abelian group / Abstract algebra / Algebra / Group theory

Component Groups of Purely Toric Quotients William A. Stein Brian Conrad April 21, 2003

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Source URL: wstein.org

Language: English - Date: 2003-04-21 20:03:36
386Finite fields / Analysis of algorithms / Asymptotic analysis / Cryptography / Analytic number theory / Elliptic curve / Ample line bundle / Big O notation / Hyperelliptic curve cryptography / Abstract algebra / Mathematics / Mathematical analysis

Relating the ECDLP to Other Curves Mark Bauer University of Calgary Department of Mathematics & Statistics Centre for Information Security and Cryptography

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Source URL: www.fields.utoronto.ca

Language: English - Date: 2006-11-15 13:19:55
387Group theory / Elliptic curves / Analytic number theory / Number theory / Prime number / Curve / Frobenius endomorphism / Supersingular elliptic curve / Counting points on elliptic curves / Abstract algebra / Mathematics / Finite fields

Constructing cryptographic curves with complex multiplication Reinier Br¨ oker Ξ

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Source URL: www.fields.utoronto.ca

Language: English - Date: 2009-05-14 13:40:44
388Algebraic number theory / Polynomials / Quadratic forms / Number theory / Analytic number theory / Elliptic curve / Discriminant / Algebraic geometry / Weil conjectures / Abstract algebra / Mathematics / Algebra

SOME AMUSING PROBLEMS RELATED TO ALGEBRAIC GEOMETRY RAVI VAKIL Here are some problems to pique your interest; we will solve (or mostly solve) them during the semester. Some are deep, and others are just fun. You won’t

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Source URL: math.stanford.edu

Language: English - Date: 2000-01-31 15:18:27
389Algebraic curves / Analytic number theory / Projective geometry / Riemann surface / Elliptic curve / Curve / Conic section / Riemann–Roch theorem / Cubic plane curve / Geometry / Algebraic geometry / Abstract algebra

Lecture Notes Algebraic Geometry III/IV Matt Kerr Contents

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Source URL: www.math.wustl.edu

Language: English - Date: 2010-06-09 01:47:58
390Analytic number theory / Elliptic curve / Group theory / Hyperelliptic curve cryptography / Elliptic curve cryptography / Cryptography / Abstract algebra / Elliptic curves

. Variants of the Montgomery form based on Theta functions Pierrick Gaudry [removed]

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Source URL: www.fields.utoronto.ca

Language: English - Date: 2006-11-15 13:29:11
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