Quadratic reciprocity

Results: 94



#Item
51Algebraic number theory / Modular arithmetic / Quadratic residue / Reciprocity law / Quadratic reciprocity / Quartic reciprocity / Legendre symbol / Proofs of quadratic reciprocity / Elliptic curve / Abstract algebra / Number theory / Mathematics

Journal de Th´eorie des Nombres de Bordeaux[removed]), 583–594 A generalization of Scholz’s reciprocity law par Mark BUDDEN, Jeremiah EISENMENGER et Jonathan KISH

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Source URL: www.math.ethz.ch

Language: English - Date: 2009-01-22 09:21:13
52Cyclotomic fields / Algebraic number theory / Analytic number theory / Modular arithmetic / Gauss sum / Quadratic residue / Jacobi sum / Character sum / Quadratic reciprocity / Abstract algebra / Mathematics / Number theory

Zentralblatt MATH Database 1931 – 2011 c 2011 European Mathematical Society, FIZ Karlsruhe & Springer-Verlag Zbl[removed]Berndt, Bruce C.; Evans, Ronald J.; Williams, Kenneth S.

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Source URL: www.math.ucsd.edu

Language: English - Date: 2011-05-17 04:39:42
53Cyclotomic fields / Modular arithmetic / Quadratic residue / Number theorists / Jacobi sum / Carl Friedrich Gauss / Gauss sum / Disquisitiones Arithmeticae / Quadratic reciprocity / Mathematics / Abstract algebra / Number theory

Review: [untitled] Author(s): Peter Cass Reviewed work(s): Gauss and Jacobi Sums by Bruce C. Berndt ; Ronald J. Evans ; Kenneth S. Williams Source: The Mathematical Gazette, Vol. 83, No[removed]Jul., 1999), pp[removed]Pub

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Source URL: www.math.ucsd.edu

Language: English - Date: 2009-03-17 01:59:39
54Algebraic number theory / Ideal class group / Quadratic integer / Algebraic number field / Quadratic reciprocity / Quadratic field / Quadratic form / Gaussian integer / Ideal norm / Abstract algebra / Algebra / Mathematics

THE DIRICHLET CLASS NUMBER FORMULA FOR IMAGINARY QUADRATIC FIELDS The factorizations 6 = 2 · 3 = (1 +

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Source URL: people.reed.edu

Language: English - Date: 2014-04-10 09:31:43
55Algebraic number theory / Modular arithmetic / Quadratic residue / Mental calculators / Disquisitiones Arithmeticae / Quadratic reciprocity / Reciprocity law / Legendre symbol / Class field theory / Mathematics / Abstract algebra / Number theory

RECIPROCITY LAWS. FROM EULER TO EISENSTEIN REVIEWER P. SHIU Fermat found that primes p ≡ 1 (mod 4) are sums of two squares, and Euler went on to investigate the representation of primes using more general quadratic for

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Source URL: www.rzuser.uni-heidelberg.de

Language: English - Date: 2002-11-03 20:34:30
56Polynomials / Algebraic number theory / Field theory / Number theory / Quadratic reciprocity / Quadratic residue / Monic polynomial / Dirichlet L-function / Finite field / Abstract algebra / Mathematics / Algebra

Function field example of a quadratic double Dirichlet series Gautam Chinta Bretton Woods, NH 11 July 2005

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Source URL: sporadic.stanford.edu

Language: English - Date: 2011-06-09 18:38:44
57Modular arithmetic / Quadratic residue / Algebraic number theory / Prime number / Quadratic reciprocity / Brun sieve / Mathematics / Number theory / Abstract algebra

Journal of Number Theory  NT1946 journal of number theory 58, 8999[removed]article no[removed]Symmetric and Asymmetric Primes Peter Fletcher*

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2005-03-02 15:21:07
58Integer factorization algorithms / Modular arithmetic / Primality tests / Finite fields / Miller–Rabin primality test / Prime number / Quadratic reciprocity / Gaussian integer / Coprime / Mathematics / Abstract algebra / Number theory

GENERATING RANDOM FACTORED GAUSSIAN INTEGERS, EASILY NOAH LEBOWITZ-LOCKARD AND CARL POMERANCE Abstract. We present a (random) polynomial-time algorithm to generate a random Gaussian integer with the uniform distribution

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2014-04-22 08:51:43
59Modular arithmetic / Algebraic number theory / Quadratic residue / Finite groups / Coprime / Cyclic group / Elliptic curve / Quadratic reciprocity / Factorial / Mathematics / Abstract algebra / Number theory

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

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Source URL: www.math.dartmouth.edu

Language: English - Date: 2012-09-20 13:20:49
60

RECIPROCITY LAWS. FROM EULER TO EISENSTEIN REVIEWER CH. BAXA, WIEN The author describes the history of reciprocity laws from Euler to Eisenstein. Among other things he deals with quadratic, cubic, quartic, octic and Eise

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Source URL: www.rzuser.uni-heidelberg.de

- Date: 2002-11-03 20:34:23
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