How Euler Did It by Ed Sandifer Odd Perfect Numbers November 2006 The subject we now call “number theory” was not a very popular one in the 18th century. Euler wrote almost a hundred papers on the subject, but the fi

Source URL: eulerarchive.maa.org

• Integer sequences
• Number theory
• Divisor function
• Algebraic number theory
• Perfect number
• Modular arithmetic
• Amicable numbers
• Divisor
• Prime number
• Quadratic reciprocity
• Leonhard Euler
• Coprime integers

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

DEPARTMENT OF MATHEMATICS UNIVERSITY OF NIJMEGEN The Netherlands Cubic reciprocity and explicit primality tests for h · 3k ± 1

Source URL: www.math.ru.nl

• Number theory
• Mathematics
• Algebra
• Algebraic number theory
• Modular arithmetic
• Quadratic residue
• Primality tests
• Integer sequences
• Reciprocity law
• Cubic reciprocity
• Prime number
• Quadratic reciprocity

Some computational experiments in number theory Wieb Bosma Mathematisch Instituut Radboud University Nijmegen Nijmegen, the Netherlands

Source URL: www.math.ru.nl

• Abstract algebra
• Algebra
• Mathematics
• Modular arithmetic
• Algebraic number theory
• Quadratic residue
• Covering system
• Prime number
• Reciprocity law
• Cubic reciprocity
• Modulus
• Chinese remainder theorem

Explicit Primality Criteria for h #2k ± 1 Wieb Bosma Mathematics of Computation, Vol. 61, No. 203, Special Issue Dedicated to Derrick Henry Lehmer. (Jul., 1993), ppStable URL: http://links.jstor.org/sici?sici=

Source URL: www.math.ru.nl

• Mathematics
• Discrete mathematics
• Number theory
• Modular arithmetic
• Integer sequences
• Finite fields
• Quadratic residue
• Prime number
• Quadratic reciprocity
• XTR
• Coprime integers
• Factorial

A PRELUDE TO THE STUDY OF RECIPROCITY LAWS JONAH SINICK 1. A case of quadratic reciprocity Consider the set of integers that are 5 less than a square number, that is, numbers of the form P (n) = n2 − 5 for n = 1, 2, 3,

Source URL: www.mathisbeauty.org

Data Structures for Range-Aggregate Extent Queries Prosenjit Gupta∗ Ravi Janardan† Yokesh Kumar†

Source URL: cccg.ca

• Closest pair of points problem
• Fractional cascading
• Voronoi diagram
• Discrete mathematics
• Group theory
• Clifford algebra
• Proofs of quadratic reciprocity
• Mathematics
• Geometry
• Bin

math 420 First Mid-term NO CALCULATORS Friday October 9, 1987

Source URL: www.math.hawaii.edu

• Modular arithmetic
• Diophantine equation
• Linear congruence theorem
• Quadratic reciprocity
• Mathematics
• Number theory
• Abstract algebra

math 420 FINAL EXAM Wednesday December 15, 1993

Source URL: www.math.hawaii.edu

• Modular arithmetic
• Algebraic number theory
• Quadratic residue
• Prime number
• Perfect number
• Wieferich prime
• Quartic reciprocity
• Mathematics
• Number theory
• Integer sequences

Submitted exclusively to the London Mathematical Society doi:The Sum of Digits Function of Polynomial Sequences Michael Drmota, Christian Mauduit and Jo¨el Rivat Abstract

Source URL: www.dmg.tuwien.ac.at

• Algebraic number theory
• Normal distribution
• Field theory
• Diophantine approximation
• Commutative algebra
• Liouville number
• Quadratic reciprocity
• Abstract algebra
• Mathematics
• Number theory