On certain imaginary abelian 2-extensions with λ2 = μ2 = ν2 = 0 Hisao Taya (Miyagi University of Education) and Gen Yamamoto (Tokyo Denki University) November 13, 2008, in Sendai, Japan

Source URL: staff.miyakyo-u.ac.jp

• Class field theory
• Algebraic number theory
• Conductor
• Field extension
• Proofs of quadratic reciprocity
• Iwasawa theory

Towards a Unified Treatment of Induction, I: The General Recursion Theorem Paul Taylor 1995–6 Abstract The recursive construction of a function f : A → Θ consists, paradigmatically, of finding

Source URL: www.paultaylor.eu

• Category theory
• Functional programming
• Algebras
• Boolean algebra
• F-algebra
• Functor
• Algebraic structure
• Ordinal number
• F-coalgebra
• Adjoint functors
• Constructible universe
• Free algebra

Descent obstructions and Brauer-Manin obstruction in positive characteristic David Harari and Jos´e Felipe Voloch September 21, 2011 Abstract. We prove that the Brauer-Manin obstruction is the only obstruction to the ex

Source URL: www.ma.utexas.edu

• Algebraic geometry
• Ring theory
• Algebraic number theory
• Homological algebra
• Algebraic structures
• Principal homogeneous space
• Torsor
• Brauer group
• tale cohomology
• Morphism of algebraic varieties
• tale morphism
• Integral element

The Tonelli-Shanks algorithm Ren´e Schoof, Roma 20 dicembre 2008 let p > 2 be prime. We describe an algorithm (due to A. Tonelli (Atti Accad. Linceiand D. Shanks (1970ies)) to compute a square root of a given sq

Source URL: www.mat.uniroma2.it

• Algebraic number theory
• Modular arithmetic
• TonelliShanks algorithm
• Field theory
• Cyclotomic unit
• Trigonometry in Galois fields

1227 Documenta Math. L-Invariant

Source URL: www.math.uiuc.edu

• Algebraic geometry
• Field theory
• Algebraic number theory
• Lie groups
• Non-associative algebras
• Valuation
• Algebraic number field
• Motive
• Mutation

MOTIVIC ANALYTIC NUMBER THEORY DANIEL LITT 1. Introduction [I’d like to talk about some connections between topology, number theory, and algebraic geometry, arising from the study of configurations of points in a space

Source URL: math.columbia.edu

The Journal of Symbolic Logic Volume 75, Number 1, March 2010 ON TAO’S “FINITARY” INFINITE PIGEONHOLE PRINCIPLE JAIME GASPAR AND ULRICH KOHLENBACH

Source URL: jg.sdf.org

• Mathematical analysis
• Mathematics
• Analysis
• IP
• Characteristic function
• Uniform boundedness principle
• Operator theory
• Banach spaces
• Compact operator on Hilbert space
• Algebraic number field

. Genus 2 formulae based on Theta functions and their implementation Pierrick Gaudry

Source URL: mathsci.ucd.ie

• Riemann surfaces
• Algebraic surfaces
• Analytic number theory
• Elliptic curve
• Group theory
• Kummer surface
• Pi
• Theta function

Continued Fractions and Pell’s Equation Max Lahn Jonathan Spiegel May 2, 2016 Abstract

Source URL: davidlowryduda.com

• Mathematics
• Mathematical analysis
• Continued fractions
• Elementary mathematics
• Number theory
• Algebraic numbers
• Periodic continued fraction
• Euclidean algorithm
• Number
• Pi
• Square root
• Quadratic irrational number

Fast Computation of Gauss Sums and Resolution of the Root of Unity Ambiguity Dang Khoa Nguyen Division of Mathematical Sciences School of Physical & Mathematical Sciences Nanyang Technological University

Source URL: www.ntu.edu.sg

• Polynomials
• Cyclotomic fields
• Field theory
• Algebraic numbers
• Algebraic number theory
• Gaussian period
• Quadratic Gauss sum
• Cyclotomic polynomial
• Root of unity
• Polynomial ring
• Algebraic integer
• Algebraic number field