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Quadratic residue
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51	Course Syllabus Math[removed]: Number Theory Spring Semester, 2009 University of West Georgia Instructor: Dr. David G. Robinson, Boyd #306, [removed]E-Mail: [removed] Add to Reading List Source URL: www.westga.edu Language: English - Date: 2012-02-20 07:47:32 Modular arithmetic Integer sequences Quadratic residue Euclidean plane geometry Fermat number Prime number Chinese remainder theorem Euclidean algorithm Linear congruence theorem Mathematics Abstract algebra Number theory
52	ON A THEOREM OF AUBRY-THUE ALFRED BRAUER AND R. L. REYNOLDS 1. Introduction. In 1913 L. Aubry [1] proved the following theorem: Add to Reading List Source URL: www.math.uga.edu Language: English - Date: 2011-09-25 15:53:25 Modular arithmetic Quadratic residue Linear congruence theorem Algebraic number field Prime number Coprime Quadratic reciprocity Wieferich prime Abstract algebra Mathematics Number theory
53	RATIONAL QUARTIC RECIPROCITY FRANZ LEMMERMEYER Abstract. We provide a simple proof of the general rational quartic reciprocity law due to Williams, Hardy and Friesen. In 1985, K. S. Williams, K. Hardy and C. Friesen [11 Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:03:07 Modular arithmetic Algebraic number theory Quadratic residue Quartic reciprocity Reciprocity law Quadratic reciprocity Legendre symbol Prime number Reciprocity Abstract algebra Number theory Mathematics
54	Contemplations of an octogenarian mathematician∗ Peter Roquette[removed] ∗ Add to Reading List Source URL: www.rzuser.uni-heidelberg.de Language: English - Date: 2014-09-24 01:36:53 Algebraic number theory Modular arithmetic Quadratic residue Mental calculators Number theorists Emmy Noether Quadratic reciprocity Leonhard Euler Topology Mathematics Abstract algebra Number theory
55	An Interpretation of some congruences concerning Ramanujan’s τ -function Jean-Pierre Serre September 11, [removed] Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:04:00 Modular arithmetic Algebraic number theory Quadratic residue Finite fields Galois theory Frobenius endomorphism Prime number Elliptic curve Abstract algebra Mathematics Number theory
56	THE DEVELOPMENT OF THE PRINCIPAL GENUS THEOREM FRANZ LEMMERMEYER Introduction Genus theory belongs to algebraic number theory and, in very broad terms, deals with the part of the ideal class group of a number field that Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2003-09-11 11:19:38 Algebraic number theory Quadratic forms Modular arithmetic Number theory Quadratic residue Binary quadratic form Quadratic reciprocity Ideal class group Algebraic number field Abstract algebra Mathematics Algebra
57	SELMER GROUPS AND QUADRATIC RECIPROCITY FRANZ LEMMERMEYER Abstract. In this article we study the 2-Selmer groups of number fields F as well as some related groups, and present connections to the quadratic reciprocity law Add to Reading List Source URL: www.fen.bilkent.edu.tr Language: English - Date: 2005-03-14 17:20:19 Algebraic number theory Modular arithmetic Quadratic residue Class field theory Quadratic reciprocity Reciprocity law Selmer group Algebraic number field Artin reciprocity law Abstract algebra Mathematics Number theory
58	Can. J. Math., Vol. XXXV, No. 4, 1983, pp[removed]SOME CONGRUENCES FOR GENERALIZED EULER NUMBERS IRA M. GESSEL Add to Reading List Source URL: people.brandeis.edu Language: English - Date: 2013-04-04 13:32:42 Abstract algebra Leonhard Euler Congruence Quadratic residue Mathematics Number theory Modular arithmetic
59	Mod p3 analogues of theorems of Gauss and Jacobi on binomial coefficients John B. Cosgrave1 , Karl Dilcher2 1 Dublin, Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2009-09-29 09:20:19 Abstract algebra John B. Cosgrave Integer sequences Fermat quotient Prime number Quadratic residue Mathematics Number theory Modular arithmetic
60	On the sum of two divisors of (n2 + 1)/2 Andrej Dujella and Florian Luca 1 Introduction Add to Reading List Source URL: bib.irb.hr Language: English - Date: 2010-11-10 12:17:08 Modular arithmetic Quadratic residue Prime number Quadratic reciprocity Number theory Mathematics Abstract algebra