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Elliptic curves
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551	15 Higher and Super Calculus of Elliptic Integral 15.1 Double series expansion of Elliptic Integral[removed]Double series expansion of Elliptic Integral of the 1st kind Formula[removed]The following expressions hold for \|k Add to Reading List Source URL: fractional-calculus.com Language: English - Date: 2013-11-11 01:10:58 Polar coordinate system Integral calculus Elliptic integral Binomial coefficient Binomial theorem Tautochrone curve Vibrations of a circular drum Mathematics Mathematical analysis Curves
552	ARITHMETIC MODULI OF GENERALIZED ELLIPTIC CURVES BRIAN CONRAD 1. Introduction 1.1. Motivation. In [DR], Deligne and Rapoport developed the theory of generalized elliptic curves over arbitrary schemes and they proved that Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-07-17 20:14:44 Moduli theory Scheme theory Analytic number theory Algebraic curves Algebraic stack Category theory Elliptic curve Modular form Group scheme Abstract algebra Algebraic geometry Geometry
553	A HYPERELLIPTIC SMOOTHNESS TEST, II H. W. LENSTRA Jr, J. PILA and CARL POMERANCE [Received 28 June[removed]Contents 1. Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-02 15:21:08 Algebraic curves Polynomials Analytic number theory Algebraic surfaces Elliptic curve Abelian variety Lenstra elliptic curve factorization Field Intersection number Abstract algebra Algebra Niels Henrik Abel
554	ROOT NUMBERS AND RANKS IN POSITIVE CHARACTERISTIC B. CONRAD, K. CONRAD, AND H. HELFGOTT Abstract. For a global field K and an elliptic curve Eη over K(T ), Silverman’s specialization theorem implies rank(Eη (K(T ))) Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2005-10-02 23:07:54 Group theory Diophantine geometry Algebraic curves Abelian variety Birch and Swinnerton-Dyer conjecture Supersingular elliptic curve Finite field Separable extension Lenstra elliptic curve factorization Abstract algebra Elliptic curves Number theory
555	version[removed]Primality testing with Gaussian periods Primality testing with Gaussian periods H. W. Lenstra jr. and Carl Pomerance Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2009-12-11 15:17:22 Finite fields Primality tests Polynomials Field theory Elliptic curves Prime number Frobenius endomorphism Root of unity Miller–Rabin primality test Abstract algebra Mathematics Algebra
556	MODULAR CURVES AND RAMANUJAN’S CONTINUED FRACTION BRYDEN CAIS AND BRIAN CONRAD Abstract. We use arithmetic models of modular curves to establish some properties of Ramanujan’s continued fraction. In particular, we gi Add to Reading List Source URL: math.stanford.edu Language: English - Date: 2006-03-08 11:36:50 Modular forms Analytic number theory Elliptic functions Riemann surfaces Algebraic curves J-invariant Theta function Congruence subgroup Classical modular curve Abstract algebra Mathematical analysis Mathematics
557	2014 ARIZONA WINTER SCHOOL: ARITHMETIC STATISTICS STATISTICS FOR ZEROES OF L-FUNCTIONS OF CURVES OVER FINITE FIELDS CHANTAL DAVID The lectures will be concerned with statistics for the zeroes of L-functions in natural fa Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2013-12-17 13:57:57 Algebraic number theory Field theory Hyperelliptic curve Peter Sarnak Elliptic curve Zeta function L-function Algebraic number field Abstract algebra Algebraic curves Analytic number theory
558	CURVES AND ZETA FUNCTIONS OVER FINITE FIELDS POSSIBLE PROJECTS CHANTAL DAVID, CONCORDIA UNIVERSITY ASSISTANT: ALINA BUCUR, UCSD For background material, and more details about the projects, see the notes. Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2014-03-13 18:22:53 Algebra Hyperelliptic curve Moduli space Elliptic curve Gonality of an algebraic curve Artin–Schreier theory L-function Zeta function Curve Abstract algebra Algebraic curves Geometry
559	CURVES AND ZETA FUNCTIONS OVER FINITE FIELDS ARIZONA WINTER SCHOOL 2014: ARITHMETIC STATISTICS CHANTAL DAVID ASSISTANT: ALINA BUCUR 1. Introduction Add to Reading List Source URL: swc.math.arizona.edu Language: English - Date: 2014-03-13 18:22:56 Analytic number theory Fourier analysis Conjectures Meromorphic functions Riemann hypothesis Riemann zeta function Elliptic curve Dirac delta function Algebraic number field Mathematical analysis Mathematics Abstract algebra
560	Explicit isogenies and endomorphisms of low-genus Jacobians: theory and applications Benjamin Smith Team GRACE INRIA Saclay–ˆIle-de-France ´ Add to Reading List Source URL: www.mathtube.org Language: English - Date: 2013-09-20 13:11:47 Algebraic curves Moduli space Abelian variety Endomorphism Krull dimension Genus Elliptic curve Abstract algebra Algebraic geometry Mathematics

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