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Prime Group
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491	MP473 EXAM, Semester 2, 1996 Attempt all questions 1. (In what follows, OK denotes the ring of integers in an algebraic number field K, [K : Q] = n and θ ∈ K. (a) Define the terms (i) mθ (x), (ii) integral basis of K Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2000-10-10 01:23:34 Field theory Algebraic structures Ring theory Algebraic number field Symbol Ring of integers Ideal class group Prime ideal Field Abstract algebra Algebra Algebraic number theory
492	Attention: Political editors, assignment editors FOR IMMEDIATE RELEASE SANDRA BUCKLER JOINS OTTAWA’S BLUESKY STRATEGY GROUP Prime Minister Harper’s former Director of Communications joins Ottawa public affairs firm O Add to Reading List Source URL: www.blueskystrategygroup.com Language: English - Date: 2013-10-15 14:00:13 Office of the Prime Minister Sandra Buckler Buckler
493	A Brief Introduction to Classical and Adelic Algebraic Number Theory William Stein (based heavily on works of Swinnerton-Dyer and Cassels) May 2004 Add to Reading List Source URL: boxen.math.washington.edu Language: English - Date: 2004-05-06 12:46:02 Field theory Algebraic number field Adele ring Galois module Field Ideal class group Prime number Class field theory Ramification Abstract algebra Algebra Algebraic number theory
494	A Study of Kummer’s Proof of Fermat’s Last Theorem for Regular Primes MANJIL P. SAIKIA1 MATS137 Summer Project under Prof. Kapil Hari Paranjape. Abstract. We study Kummer’s approach towards proving the Fermat’s l Add to Reading List Source URL: www.manjilsaikia.in Language: English - Date: 2013-04-01 06:22:17 Algebraic number theory Algebraic number field Ideal class group Root of unity Frobenius endomorphism Cyclotomic field Dirichlet L-function Bernoulli number Prime number Abstract algebra Mathematics Algebra
495	ARITHMETIC STATISTICS: ELLIPTIC CURVES AND OTHER THINGS BARRY MAZUR Notes for the Erd¨os Memorial Lecture, held at Temple University, October 12, 2013 Add to Reading List Source URL: www.math.harvard.edu Language: English - Date: 2013-11-03 13:39:15 Diophantine geometry Elliptic curves Abelian varieties Analytic number theory Group theory Mordell–Weil theorem Rational point Barry Mazur Prime number Abstract algebra Mathematics Number theory
496	A Comment on \Bound for Linear Complexity of BBS Sequences" Sean Murphy Information Security Group Royal Holloway University of London Add to Reading List Source URL: www.isg.rhul.ac.uk Language: English - Date: 2005-11-30 04:38:50 Binary arithmetic Linear feedback shift register Prime number Polynomial Sequence Mathematics Pseudorandom number generators Integer sequences
497	THE AVERAGE ORDER OF ELEMENTS IN THE MULTIPLICATIVE GROUP OF A FINITE FIELD YILAN HU AND CARL POMERANCE A BSTRACT. We consider the average multiplicative order of a nonzero element in a finite field and compute the mean Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2012-01-12 11:42:57 Number theory Field theory Prime numbers Factorial Prime-counting function Finite field Binomial coefficient Transcendental number Mathematics Combinatorics Integer sequences
498	Mathematical routines for the NIST prime elliptic curves April 05, 2010 Contents Add to Reading List Source URL: www.nsa.gov Language: English - Date: 2010-11-08 09:26:06 Analytic number theory Finite fields Modular forms Elliptic curves Modular arithmetic Prime number Lenstra elliptic curve factorization Hessian form of an elliptic curve Abstract algebra Mathematics Group theory
499	Rank statistics for a family of elliptic curves over a function field Carl Pomerance Department of Mathematics, Dartmouth College Hanover, NH[removed], USA [removed] Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2008-03-19 13:19:05 Analytic number theory Integer sequences Prime numbers Group theory Prime-counting function Prime number theorem Elliptic curve Riemann hypothesis Factorial Mathematics Number theory Mathematical analysis
500	Contributions to Algebraic Number Theory from India Dipendra Prasad October 19, 2004 There was a conference organised at the Institite of Mathematical Sciences, Madras in 1997 on the occasion of the 50th anniversary of I Add to Reading List Source URL: www.math.tifr.res.in Language: English - Date: 2004-10-19 06:36:06 Algebraic number theory Analytic number theory Elliptic curve Quadratic form Algebraic number field Transcendental number Algebraic integer Ideal class group Prime number Abstract algebra Mathematics Algebra

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