4. BINARY QUADRATIC FORMSWhat integers are represented by a given binary quadratic form?. An integer n is represented by the binary quadratic form ax2 + bxy + cy 2 if there exist integers r and s such that n = ar2

Source URL: www.dms.umontreal.ca

On an Irreducibility Theorem of A. Schinzel Associated with Coverings of the Integers by M. Filaseta*, K. Ford, and S. Konyagin**

Source URL: www.math.uiuc.edu

INTEGERS WITH A DIVISOR IN (y, 2y] KEVIN FORD Abstract. We determine, up to multiplicative constants, how many integers n ≤ x have a divisor in (y, 2yIntroduction

Source URL: www.math.uiuc.edu

INTEGERS WITH A DIVISOR IN (y, 2y] KEVIN FORD Abstract. We determine, up to multiplicative constants, how many integers n ≤ x have a divisor in (y, 2yIntroduction

Source URL: www.math.uiuc.edu

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

COMPLEX HYPERBOLIC (3, 3, n) TRIANGLE GROUPS JOHN R PARKER, JIEYAN WANG AND BAOHUA XIE Abstract. Let p, q, r be positive integers. Complex hyperbolic (p, q, r) triangle groups are representations of the hyperbolic (p, q,

Source URL: maths.dur.ac.uk

Annals of Mathematics, ), 367–433 The distribution of integers with a divisor in a given interval By Kevin Ford

Source URL: www.math.uiuc.edu

Elliptic Curves and Galois Representations Caleb McWhorter Fall 2014 General Motivation Diophantine equations are the study of solutions of polynomial equations in integers or rationals. Take the

Source URL: mgo.syr.edu

Alignment of Rods and Partition of Integers E. Ben-Naim1, ∗ and P. L. Krapivsky2, † 1 Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico

Source URL: cnls.lanl.gov

On Cobham’s theorem for Gaussian integers Wieb Bosma∗, Robbert Fokkink, and Thijmen Krebs † June 2014

Source URL: www.math.ru.nl

• Transcendental numbers
• Circuit complexity
• NC
• Closed and exact differential forms
• Constructible universe
• Ordinal number
• Ordinal arithmetic
• Ostrowski numeration