Cyclotomic fields

Results: 75



#Item
31Number theory / Integer sequences / Cyclotomic fields / Prime number / Regular prime / Bernoulli number / Ideal class group / Abstract algebra / Mathematics / Algebraic number theory

Irregular primes to two billion: progress report David Harvey University of New South Wales 5th October 2013, CARMA, University of Newcastle

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Source URL: web.maths.unsw.edu.au

Language: English - Date: 2013-10-06 07:17:05
32Cyclotomic fields / Number theorists / Carl Friedrich Gauss / Gauss–Bonnet theorem / G. Waldo Dunnington / Disquisitiones Arithmeticae / Gaussian elimination / Gauss–Jordan elimination / Gaussian integer / Mathematics / Algebra / Numerical linear algebra

Registered with the Registrar of Newspapers of India: R.N. DELENG

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Source URL: www.vigyanprasar.gov.in

Language: English - Date: 2012-07-09 07:36:33
33Elliptic curves / Finite fields / Number theory / Cryptography / Group theory / Weil pairing / Supersingular elliptic curve / Algebraic number field / Curve / Abstract algebra / Mathematics / Algebra

Constructing Brezing-Weng pairing friendly elliptic curves using elements in the cyclotomic field Ezekiel Justin Kachisa?1 , Edward F. Schaefer ??2

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Source URL: eprint.iacr.org

Language: English - Date: 2007-12-14 05:53:33
34Field theory / Class field theory / Kummer theory / Cyclotomic fields / Abelian extension / Algebraic number field / Ernst Kummer / Abstract algebra / Algebraic number theory / Algebra

Cyclic polynomials arising from Kummer theory of norm tori   

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Source URL: matha.e-one.uec.ac.jp

Language: English - Date: 2011-07-06 20:43:50
35Cyclotomic fields / Conjectures / Dirichlet character / Gauss sum / Dirichlet L-function / Algebraic number field / Root of unity / Generalized Riemann hypothesis / Riemann hypothesis / Abstract algebra / Mathematics / Algebraic number theory

Recovering Short Generators of Principal Ideals in Cyclotomic Rings Ronald Cramer∗ L´eo Ducas†

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Source URL: eprint.iacr.org

Language: English - Date: 2015-04-06 06:31:39
36Cyclotomic fields / Gauss sum / Dirichlet character / Bernoulli number / Johann Peter Gustav Lejeune Dirichlet / Modulo operation / Algebraic number field / Abstract algebra / Mathematics / Number theory

Sage Reference Manual: Miscellaneous Modular-Form-Related Modules Release 6.6.beta0 The Sage Development Team

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Source URL: sagemath.org

Language: English - Date: 2015-02-21 07:35:20
37Field theory / Algebraic number field / Sage / Cyclotomic field / Tensor product of fields / Ideal class group / Exponentiation / Field extension / Quadratic field / Abstract algebra / Algebra / Algebraic number theory

Sage Reference Manual: Algebraic Number Fields Release 6.6.beta0 The Sage Development Team

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Source URL: sagemath.org

Language: English - Date: 2015-02-21 07:35:20
38Field theory / Galois theory / Cyclotomic fields / Number theory / P-adic L-function / Iwasawa theory / Algebraic number field / Euler system / P-adic number / Abstract algebra / Algebra / Algebraic number theory

RIMS Kˆ okyˆ uroku Bessatsu B19 (2010), 301–319 Iwasawa Theory for nearly ordinary Hida

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Source URL: www.kurims.kyoto-u.ac.jp

Language: English - Date: 2010-06-05 19:31:48
39Dirichlet L-function / Dirichlet character / Symbol / Character theory / Quadratic residue / Cyclotomic fields / Gauss sum / Generalized Riemann hypothesis / Abstract algebra / Mathematics / Number theory

Dirichlet’s Theorem on Arithmetic Progressions Anthony V´arilly Harvard University, Cambridge, MA[removed]

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Source URL: math.rice.edu

Language: English - Date: 2009-08-05 18:06:15
40Class field theory / Quadratic forms / Field theory / Conductor / Class number formula / Field extension / Algebraic number field / Tensor product of fields / Signature / Abstract algebra / Algebra / Algebraic number theory

IDEAL CLASS GROUPS OF CYCLOTOMIC NUMBER FIELDS I FRANZ LEMMERMEYER Abstract. Following Hasse’s example, various authors have been deriving divisibility properties of minus class numbers of cyclotomic fields by carefull

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Source URL: www.fen.bilkent.edu.tr

Language: English - Date: 2003-09-11 11:03:20
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