ON THE ASYMPTOTIC BEHAVIOR OF SOME COUNTING FUNCTIONS, II WOLFGANG A. SCHMID Abstract. The investigation of the counting function of the set of integral elements, in an algebraic number field, with factorizations of at m

Source URL: www.uni-graz.at

Density Computations for Real Quadratic Units Wieb Bosma; Peter Stevenhagen Mathematics of Computation, Vol. 65, NoJul., 1996), ppStable URL: http://links.jstor.org/sici?sici=%%2965%

Source URL: www.math.ru.nl

• Algebra
• Mathematics
• Abstract algebra
• Algebraic number theory
• Quadratic forms
• Field theory
• Modular arithmetic
• Quadratic field
• Prime number
• Discriminant
• Fundamental unit
• Factorization

CANONICAL HEIGHTS AND DIVISION POLYNOMIALS ¨ ROBIN DE JONG AND J. STEFFEN MULLER Abstract. We discuss a new method to compute the canonical height of an algebraic point on a hyperelliptic jacobian over a number field. T

Source URL: www.math.uni-hamburg.de

EXPLICIT CM-THEORY FOR LEVEL 2-STRUCTURES ON ABELIAN SURFACES ¨ REINIER BROKER, DAVID GRUENEWALD, AND KRISTIN LAUTER Abstract. For a complex abelian surface A with endomorphism ring isomorphic to

Source URL: echidna.maths.usyd.edu.au

• Abstract algebra
• Algebra
• Ring theory
• Field theory
• Algebraic number theory
• Niels Henrik Abel
• Analytic number theory
• Abelian variety
• Complex multiplication
• Valuation
• Elliptic curve
• Sheaf

Class Field Theory Anna Haensch Spring 2012 These are my own notes put together from a reading of “Class Field Theory” by N. Childress [1], along with other references, [2], [4], and [6].

Source URL: www.mathcs.duq.edu

• Class field theory
• Algebraic number theory
• Symbol
• Character theory
• Conductor
• Algebraic number field
• Gauss sum
• Dirichlet L-function
• Abstract algebra
• Algebra
• Dirichlet character

Sage Reference Manual: Algebraic Number Fields Release 6.7 The Sage Development Team

Source URL: doc.sagemath.org

• Field 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: p-Adics Release 6.7 The Sage Development Team June 24, 2015

Source URL: doc.sagemath.org

• Field theory
• Algebraic number theory
• P-adic number
• Valuation
• Frobenius endomorphism
• Inverse limit
• Sage
• Field
• Logarithm
• Abstract algebra
• Algebra
• Mathematics

Innovations in Computer ScienceIdeal Forms of Coppersmith’s Theorem and Guruswami-Sudan List Decoding Henry Cohn∗ Nadia Heninger? Microsoft Research New England, One Memorial Drive, Cambridge, MA 02142

Source URL: conference.itcs.tsinghua.edu.cn

• Polynomials
• Coding theory
• Field theory
• Error detection and correction
• Finite field
• General number field sieve
• Irreducible polynomial
• Reed–Solomon error correction
• Algebraic integer
• Abstract algebra
• Algebra
• Mathematics

Sage Reference Manual: Standard Commutative Rings Release 6.7 The Sage Development Team

Source URL: doc.sagemath.org

• Ring theory
• Field theory
• Algebraic structures
• Algebraic number theory
• Commutative algebra
• Ring of integers
• Ring
• Sage
• Integer
• Abstract algebra
• Algebra
• Mathematics

Sage Reference Manual: Modular Forms Release 6.7 The Sage Development Team

Source URL: doc.sagemath.org

• Mathematics
• Analytic number theory
• Field theory
• Group theory
• Algebraic number theory
• Eisenstein series
• Hecke operator
• Congruence subgroup
• Cusp form
• Abstract algebra
• Modular forms
• Mathematical analysis