Smoothness Testing of Polynomials over Finite Fields Jean-Franc ¸ ois Biasse and Michael J. Jacobson Jr. Department of Computer Science, University of Calgary 2500 University Drive NW

Source URL: www.lix.polytechnique.fr

• Mathematics
• Multiplication
• Polynomials
• Algebra
• Multiplication algorithm
• Computer algebra
• ToomCook multiplication
• Karatsuba algorithm
• Degree of a polynomial
• Finite field
• Remainder
• Computational complexity of mathematical operations

SHTUKAS FOR REDUCTIVE GROUPS AND LANGLANDS CORRESPONDENCE FOR FUNCTIONS FIELDS VINCENT LAFFORGUE This text gives an introduction to the Langlands correspondence for

Source URL: eta.impa.br

• Algebra
• Abstract algebra
• Ring theory
• Algebraic number theory
• Automorphic forms
• Representation theory of Lie groups
• Conjectures
• Class field theory
• Drinfeld module
• Langlands dual group
• Langlands program
• Reductive group

Practical improvements to class group and regulator computation of real quadratic fields Jean-Fran¸cois Biasse1 and Michael J. Jacobson, Jr.2? ´ Ecole Polytechnique, 91128 Palaiseau, France

Source URL: www.lix.polytechnique.fr

• Algebra
• Mathematics
• Abstract algebra
• Algebraic number theory
• Integer factorization algorithms
• Quadratic forms
• Field theory
• Numerical linear algebra
• Quadratic sieve
• Factorization
• Factor base
• Ideal class group

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Source URL: www.fields.biz

PDF Document

Source URL: www.fields.biz

PDF Document

Source URL: www.fields.biz

PDF Document

Source URL: www.fields.biz

PDF Document

Source URL: www.fields.biz