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Quadratic reciprocity
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11	Odd prime values of the Ramanujan tau function Nik Lygeros & Olivier Rozier The Ramanujan Journal Add to Reading List Source URL: www.lygeros.org Language: English - Date: 2013-03-18 03:48:34 Modular arithmetic Quadratic residue Algebraic number theory Integer sequences Fermat number Quadratic reciprocity Tau-function Prime number Legendre symbol Mathematics Number theory Abstract algebra
12	Universally Constructing 12-th Degree Extension Field for Ate Pairing Masaaki Shirase School of Systems Information, Future University Hakodate, 116-2 Kamedanakano, Hakodate, Hokkaido, Japan Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2010-02-18 23:01:15 Modular arithmetic Quadratic residue Algebraic number theory Group theory Cubic reciprocity Legendre symbol Prime number Elliptic curve Finite field Abstract algebra Number theory Mathematics
13	1 Square root computation over even extension fields Gora Adj 1 Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2013-07-18 17:22:53 Modular arithmetic Quadratic residue Field theory Exponentials Tonelli–Shanks algorithm Exponentiation by squaring Polynomial basis Quadratic reciprocity Finite field Abstract algebra Mathematics Number theory
14	Math: Cryptography The Solovay-Strassen Primality Test 1 1 Add to Reading List Source URL: www.cs.miami.edu Language: English - Date: 2000-10-30 22:02:14 Modular arithmetic Quadratic residue Algebraic number theory Primality tests Quadratic reciprocity Jacobi symbol Legendre symbol Prime number Solovay–Strassen primality test Number theory Mathematics Abstract algebra
15	Asia Pacific Mathematics Newsletter 1 ClassicalReciprocity Reciprocity Laws Classical Add to Reading List Source URL: www.asiapacific-mathnews.com Language: English - Date: 2014-11-28 01:26:36 Algebraic number theory Modular arithmetic Field theory Number theory Quadratic residue Reciprocity law Algebraic number field Quadratic reciprocity Quartic reciprocity Abstract algebra Mathematics Algebra
16	FINDING COMPOSITE ORDER ORDINARY ELLIPTIC CURVES USING THE COCKS-PINCH METHOD D. BONEH, K. RUBIN, AND A. SILVERBERG Abstract. We apply the Cocks-Pinch method to obtain pairing-friendly composite order groups with prescri Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2010-05-03 13:25:59 Elliptic curves Finite fields Modular arithmetic Integer factorization algorithms Elliptic curve Supersingular elliptic curve Prime number Quadratic reciprocity Primality test Abstract algebra Mathematics Number theory
17	The Density of Zeros of Forms for which Weak Approximation Fails D.R. Heath-Brown Magdalen College, Oxford Abstract The weak approximation principal fails for the forms x3 + y 3 + z 3 = Add to Reading List Source URL: eprints.maths.ox.ac.uk Language: English - Date: 2009-07-20 09:53:33 Algebraic number theory Modular arithmetic Quadratic reciprocity Quadratic residue Operator theory Meijer G-function Euclidean algorithm Mathematics Number theory Abstract algebra
18	PDF Document Add to Reading List Source URL: www.emis.ams.org Language: English - Date: 2012-06-12 13:07:33 Modular arithmetic Algebraic number theory Integer sequences Quadratic residue Mersenne prime Quadratic reciprocity Prime number Perfect number Quartic reciprocity Mathematics Number theory Abstract algebra
19	ON TATE-SHAFAREVICH GROUPS OF SOME ELLIPTIC CURVES FRANZ LEMMERMEYER Abstract. Generalizing results of Stroeker and Top we show that the 2-ranks of the Tate-Shafarevich groups of the elliptic curves y 2 = (x + k)(x2 + k2 Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:04:03 Symbol Quadratic reciprocity Μ operator Spectral theory of ordinary differential equations Mathematics Number theory Abstract algebra
20	ON THE 2-CLASS FIELD TOWER OF A QUADRATIC NUMBER FIELD HELMUT KOCH 1. Introduction Let k = k (0,2) be a quadratic number field with discriminant ∆. For n ≥ Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2004-02-22 07:56:02 Field theory Galois theory Quadratic field Algebraic number field Class field theory Ideal class group Kummer theory Galois group Artin reciprocity law Abstract algebra Algebra Algebraic number theory