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Modular arithmetic
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301	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
302	ON BALANCED SUBGROUPS OF THE MULTIPLICATIVE GROUP CARL POMERANCE AND DOUGLAS ULMER In memory of Alf van der Poorten A BSTRACT. A subgroup H of (Z/dZ)× is called balanced if every coset of H is evenly distributed between Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2012-09-20 13:20:49 Modular arithmetic Algebraic number theory Quadratic residue Finite groups Coprime Cyclic group Elliptic curve Quadratic reciprocity Factorial Mathematics Abstract algebra Number theory
303	JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY Volume 20, Number 2, April 2007, Pages 495–517 S[removed][removed]Article electronically published on September 19, 2006 Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2007-01-18 09:38:51 Modular arithmetic Algebraic number theory Commutative algebra Covering system Chinese remainder theorem Quadratic residue Euclidean algorithm Mathematics Abstract algebra Number theory
304	Fixed points for discrete logarithms Mariana Levin1 , Carl Pomerance2, and and K. Soundararajan3 1 Graduate Group in Science and Mathematics Education University of California Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2010-05-08 07:16:46 Algebra Algebraic number theory Modular arithmetic Cyclotomic character Clifford algebra Abstract algebra Dirichlet character Number theory
305	THE RAMANUJAN JOURNAL 2, 7–[removed]c 1998 Kluwer Academic Publishers. Manufactured in The Netherlands. ° Euler’s Function in Residue Classes THOMAS DENCE Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2005-03-02 15:21:07 Integer sequences Algebraic number theory Prime number Arithmetic function Quadratic residue Lucas–Lehmer primality test Mathematics Number theory Modular arithmetic
306	ON SETS OF INTEGERS WHICH ARE BOTH SUM-FREE AND PRODUCT-FREE P¨ ar Kurlberg Department of Mathematics, KTH, SE-10044, Stockholm, Sweden [removed] Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2012-07-24 09:38:19 Integer sequences Combinatorics Modular arithmetic Algebraic number theory Exponentiation Integer Natural density Prime number Factorial Mathematics Abstract algebra Number theory
307	Why should anyone have to study mathematics? In Fall 2003, I gave the question above to my Honors Calculus III students. After some lively discussion, they were asked to write a paper on it. The requirements on the pape Add to Reading List Source URL: www.numerical-yoga-guru-rupnathji.net46.net Language: English - Date: 2013-02-21 00:14:04 Coding theory XTR IP Error detection and correction Information theory Modular arithmetic Anatolii Alexeevitch Karatsuba Mathematical anxiety Mathematics Abstract algebra Finite fields
308	Microsoft Word - MontgomeryMultiplication.doc Add to Reading List Source URL: www.hackersdelight.org Language: English - Date: 2012-07-17 17:25:15 Number theory Montgomery reduction Multiplicative order Ring Multiplication Schönhage–Strassen algorithm Euclidean algorithm Abstract algebra Mathematics Modular arithmetic
309	SIXES AND SEVENS Carl Pomerance University of Georgia Cooper and Kennedy [1] have posed the following interesting question. For n = 0, 1, . . . , Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2010-11-16 15:15:29 Diophantine equations Integer sequences Mathematics Number theory Modular arithmetic
310	Errata and Additions to “Reciprocity Laws. From Euler to Eisenstein”. page for Add to Reading List Source URL: www.rzuser.uni-heidelberg.de Language: English - Date: 2003-02-08 17:59:40 Algebraic number theory Number theory Field theory Symbol Reciprocity law Artin reciprocity law P-adic number Modular arithmetic Abstract algebra Mathematics Algebra

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