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Abstract analytic number theory
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161	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 Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:50 Analytic number theory Symbol Quadratic reciprocity Elliptic curve Spectral theory of ordinary differential equations Μ operator Abstract algebra Mathematics Number theory
162	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 Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:29 Analytic 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
163	CONICS - A POOR MAN’S ELLIPTIC CURVES FRANZ LEMMERMEYER Contents Introduction 1. The Group Law on Pell Conics and Elliptic Curves Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-11-17 18:14:51 Conic sections Number theory Algebraic curves Analytic number theory Curves Elliptic curve Birch and Swinnerton-Dyer conjecture Degenerate conic Modular form Geometry Algebraic geometry Abstract algebra
164	A Weil Descent Attack against Elliptic Curve Cryptosystems over Quartic Extension Fields Seigo Arita∗ Kazuto Matsuo∗† Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2004-09-16 01:27:33 Group theory Analytic number theory Deduction Differential geometry Modular forms Elliptic curve Entailment Covering space Differential geometry of curves Abstract algebra Mathematics Topology
165	BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 6, Number 2, March 1982 PROBLEMS ON ABELIAN FUNCTIONS AT THE TIME OF POINCARÉ AND SOME AT PRESENT1 Add to Reading List Source URL: www.ams.org Language: English - Date: 2010-01-14 12:42:58 Algebraic curves Riemann surfaces Analytic number theory Abelian varieties Algebraic structures Modular form Divisor Schottky problem Abelian integral Abstract algebra Algebraic geometry Mathematical analysis
166	A Note on P´epin’s counter examples to the Hasse principle for curves of genus 1 Franz Lemmermeyer Bilkent University[removed]Bilkent, Ankara September 11, 2003 Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:04:04 Algebraic number theory Modular arithmetic Field theory Analytic number theory Elliptic curve Quadratic reciprocity Infinite descent Algebraic number field P-adic number Mathematics Abstract algebra Number theory
167	HIGH RANK ELLIPTIC CURVES WITH PRESCRIBED TORSION GROUP OVER QUADRATIC FIELDS JULIÁN AGUIRRE, ANDREJ DUJELLA, MIRELA JUKI BOKUN, AND JUAN CARLOS PERAL There are 26 possibilities for the torsion group of elliptic curve Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2014-07-23 10:58:32 Analytic number theory Elliptic curve Group theory Torsion subgroup Torsion tensor Torsion Analytic torsion Lenstra elliptic curve factorization Abstract algebra Differential geometry Curvature
168	On the torsion group of elliptic curves induced by D(4)-triples Andrej Dujella and Miljen Miki´c Abstract A D(4)-m-tuple is a set of m integers such that the product of Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2013-10-08 15:27:22 Mathematics Triangle geometry Proofs involving the Moore–Penrose pseudoinverse Pythagorean theorem Analytic number theory Elliptic curve Group theory
169	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 Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2012-10-20 07:52:34 Number theory Analytic number theory Elliptic curves Group theory Birch and Swinnerton-Dyer conjecture Congruent number Exponentiation Angle Curve Mathematics Abstract algebra Geometry
170	Elliptic Curve Cryptography: Invention and Impact: The invasion of the Number Theorists Victor S. Miller IDA Center for Communications Research Princeton, NJ[removed]USA Add to Reading List Source URL: www.iacr.org Language: English - Date: 2007-06-12 08:54:49 Elliptic curves Abelian varieties Finite fields Diophantine geometry Analytic number theory Mordell–Weil theorem Elliptic function Victor S. Miller Birch and Swinnerton-Dyer conjecture Abstract algebra Mathematics Algebraic geometry