European Journal of Control, Vol. 1, No.1, pp, 1995 Identification of normalized coprime plant factors from closed loop experimental data ‡ Paul M.J. Van den Hof

Source URL: maeresearch.ucsd.edu

SQUARE FREE VALUES OF THE ORDER FUNCTION FRANCESCO PAPPALARDI Abstract. Given a ∈ Z \ {±1, 0}, we consider the problem of enumerating the integers m coprime to a such that the order of a modulo m is square free. This

Source URL: www.mat.uniroma3.it

491 Documenta Math. Invariant Blocks Under Coprime Actions ¨th1

Source URL: www.math.uiuc.edu

The riddle The conjecture Consequences

Source URL: www.math.leidenuniv.nl

• Mathematics
• Conjectures
• Number theory
• Discrete mathematics
• Abc conjecture
• Prime number
• Coprime integers
• MasonStothers theorem
• Radical of an integer

Number theory 1. k1 , k2 , r, s ∈ N , k1 ≤ 2k2 . Suppose that k1 |rs . Show that k1 |rk2 P roof1 : ( We have

Source URL: www.math.ncu.edu.tw

• Number theory
• Coprime integers

491 Documenta Math. Invariant Blocks Under Coprime Actions ¨th1

Source URL: documenta.sagemath.org

• Finite groups
• Sylow theorems
• Modular representation theory
• Representation theory
• Valuation ring
• Casson invariant
• Gelfand pair

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

Visibility in Random Forests Abigail Turner, Ananya Uppal, Peng Xu, Amita Malik (Graduate Student), Prof. Jayadev Athreya, Prof. Francesco Cellarosi (Faculty Mentors) Overview

Source URL: www.math.illinois.edu

• Probability distributions
• Number theory
• Infinitely divisible probability distributions
• Probability theory
• Poisson processes
• Farey sequence
• Coprime integers
• Normal distribution
• Central limit theorem
• Random variable
• Exponential distribution

On Cornacchia’s algorithm for solving the diophantine equation u2 + dv 2 = m F. Morain ∗† J.-L. Nicolas ‡ September 12, 1990

Source URL: www.lix.polytechnique.fr

• QN
• Euclidean algorithm
• Diophantine approximation
• Coprime integers
• Diophantine equation

471 Old Idaho Usual Here Robert Israel, Stephen Morris, and Stan Wagon N. Kildonan [1℄ raised the following problem. Take an arbitrary word

Source URL: www.math.ubc.ca

• Elementary number theory
• Number theory
• Integer sequences
• Divisibility rule
• Division
• Coprime integers
• Singly and doubly even