THE NUMBER OF SOLUTIONS OF λ(x) = n KEVIN FORD AND FLORIAN LUCA Abstract. We study the question of whether for each n there is an m 6= n with λ(m) = λ(n), where λ is Carmichael’s function. We give a “near” proo

Source URL: www.math.uiuc.edu

Counting divisors G.J.O. Jameson, Math. Gazette[removed]The divisor function τ (n) The “divisors” of n are the positive integers (including 1 and n itself) that divide into n. We will denote by τ (n) the number o

Source URL: www.maths.lancs.ac.uk

• Arithmetic function
• Expected value
• Prime number theorem
• Carmichael function
• Number theory
• Mathematics
• Divisor function

The ranges of various familiar functions Carl Pomerance, Dartmouth College based on joint work with K. Ford, F. Luca, and P. Pollack Let us introduce our cast of characters:

Source URL: www.math.dartmouth.edu

• Modular arithmetic
• Divisor function
• Prime number
• Carmichael number
• Number
• Divisor
• Normal distribution
• Mathematics
• Integer sequences
• Number theory

MATHEMATICS OF COMPUTATION Volume 70, Number 236, Pages 1591–1605 S[removed][removed]Article electronically published on July 13, 2000 PERIOD OF THE POWER GENERATOR

Source URL: www.math.dartmouth.edu

• Number theory
• Spectral theory
• Carmichael function
• Operator theory
• Ordinary differential equations
• Arithmetic function
• Spectral theory of ordinary differential equations
• Mathematics
• Mathematical analysis
• Modular arithmetic

MATHEMATICS OF COMPUTATION Volume 71, Number 240, Pages 1803–1806 S[removed][removed]Article electronically published on May 28, 2002 CORRIGENDUM TO “PERIOD OF THE POWER GENERATOR

Source URL: www.math.dartmouth.edu

• Divisor function
• Carmichael function
• Elliptic functions
• Modular forms
• Arithmetic function
• Spectral theory of ordinary differential equations
• Mathematics
• Modular arithmetic
• Number theory

On the range of Carmichael’s universal-exponent function Florian Luca Mathematical Institute UNAM Juriquilla Juriquilla, 76230 Santiago de Quer´etaro

Source URL: www.math.dartmouth.edu

• Combinatorics
• Factorial
• Exponentiation
• Jurkat–Richert theorem
• Chebyshev function
• Mathematics
• Number theory
• Arithmetic functions

Square values of Euler’s function Carl Pomerance, Dartmouth College based on joint work with

Source URL: www.math.dartmouth.edu

• Modular arithmetic
• Analytic number theory
• Conjectures
• Riemann hypothesis
• Divisor function
• Prime number
• Twin prime
• Carmichael number
• Mathematics
• Number theory
• Integer sequences

Curriculum Vitae (April 2014 – 12 pages) WILLIAM D. BANKS Department of Mathematics, University of Missouri

Source URL: www.math.missouri.edu

• Modular arithmetic
• Analytic number theory
• Integer sequences
• Kloosterman sum
• Arithmetic function
• Summation
• Riemann zeta function
• Factorial
• Carmichael number
• Mathematics
• Number theory
• Mathematical analysis

The set of values of an arithmetic function Carl Pomerance, Dartmouth College

Source URL: www.math.dartmouth.edu

• Analytic number theory
• Modular arithmetic
• Divisor function
• Arithmetic function
• Prime number
• Riemann hypothesis
• Twin prime
• Carmichael number
• Normal distribution
• Mathematics
• Integer sequences
• Number theory

The range of Carmichael’s function Carl Pomerance, Dartmouth College with

Source URL: www.math.dartmouth.edu

• Exponentiation
• Factorial
• Normal distribution
• Mathematics
• Mathematical analysis
• Exponentials