Quadratic field

Results: 216



#Item
141Modular form / Symbol / P-adic number / Valuation / Ring of integers / Vertex operator algebra / Orbifold / Abstract algebra / Algebra / Field theory

Computations of elliptic units for real quadratic fields Samit Dasgupta September 20, 2006 Contents 1 Definition of the units

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Source URL: people.ucsc.edu

Language: English - Date: 2008-09-13 15:52:31
142Differential topology / Orbifold / SL2 / Torsion tensor / Field / Torus / Abstract algebra / Differential geometry / Geometry

Bianchi Orbifolds of Small Discriminant A. Hatcher √ Let OD be the ring of integers in the imaginary quadratic field Q( D) of discriminant D < 0 . Then P GL2 (OD ) is a discrete subgroup of the isometry group P SL2 (C)

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Source URL: www.math.cornell.edu

Language: English - Date: 1999-06-11 14:52:46
143Algebraic curves / Field theory / Analytic number theory / Algebraic number theory / Vector bundles / Elliptic curve / Algebraic number field / Polynomial / Ample line bundle / Abstract algebra / Algebra / Mathematics

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

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Source URL: people.maths.ox.ac.uk

Language: English - Date: 2006-07-08 18:57:36
144Abstract algebra / Integer factorization / Quadratic sieve / General number field sieve / RSA / Prime number / Primality test / Factorization / Discrete logarithm / Mathematics / Cryptography / Integer factorization algorithms

Integer Factorization Per Leslie Jensen Master Thesis D I K U

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Source URL: pgnfs.org

Language: English - Date: 2011-06-27 08:55:21
145Field theory / Conjectures / Heegner point / Number theorists / Elliptic curve / Kenneth Alan Ribet / P-adic number / Prime number / Zeta function / Abstract algebra / Mathematics / Algebraic number theory

Gross–Stark units, Stark–Heegner points, and class fields of real quadratic fields by Samit Dasgupta A.B. (Harvard University) 1999

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Source URL: people.ucsc.edu

Language: English - Date: 2008-09-13 15:53:21
146Mathematics / Operator theory / Spectral theory of ordinary differential equations / Oscillator semigroup / Field theory / Algebraic geometry / Valuation

A Conjectural Product Formula for Brumer–Stark Units over Real Quadratic Fields Samit Dasgupta October 6, 2011 Dedicated to the memory of David Hayes Abstract

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Source URL: people.ucsc.edu

Language: English - Date: 2011-10-07 02:27:27
147Algebraic number theory / Ideal class group / Quadratic integer / Algebraic number field / Quadratic reciprocity / Quadratic field / Quadratic form / Gaussian integer / Ideal norm / Abstract algebra / Algebra / Mathematics

THE DIRICHLET CLASS NUMBER FORMULA FOR IMAGINARY QUADRATIC FIELDS The factorizations 6 = 2 · 3 = (1 +

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Source URL: people.reed.edu

Language: English - Date: 2014-04-10 09:31:43
148Linear algebra / Analytic number theory / Quadratic forms / Algebraic number theory / Real algebraic geometry / Elliptic curve / Symbol / Symplectic vector space / Algebraic number field / Algebra / Abstract algebra / Mathematics

DISPARITY IN THE STATISTICS FOR QUADRATIC TWIST FAMILIES BARRY MAZUR Very rough notes for a lecture delivered at the MSRI Workshop in Arithmetic Statistics, April 13, 2011. This represents joint work with

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Source URL: www.math.harvard.edu

Language: English - Date: 2011-12-13 10:36:48
149Quadratic forms / Field theory / Algebraic number theory / Linear algebra / Real algebraic geometry / Partial fraction / Euclidean algorithm / Mathematics / Algebra / Abstract algebra

SUMS OF SQUARES IN Q AND F(T ) KEITH CONRAD 1. Introduction To illustrate the analogies between integers and polynomials, we prove a theorem about sums of squares over Z and then prove an analogous result in F [T ] (wher

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Source URL: www.math.uconn.edu

Language: English - Date: 2007-12-15 18:52:41
150Analytic number theory / Elliptic curve / Group theory

SELMER COMPANION CURVES BARRY MAZUR AND KARL RUBIN Abstract. We say that two elliptic curves E1 , E2 over a number field K are n-Selmer companions for a positive integer n if for every quadratic character χ

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Source URL: www.math.harvard.edu

Language: English - Date: 2012-03-09 13:52:58
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