On square values of the product of the Euler totient and sum of divisors functions

• Autorzy: Kevin Broughan , Kevin Ford , Florian Luca
• Języki publikacji: EN

Abstrakty

EN

If n is a positive integer such that ϕ(n)σ(n) = m² for some positive integer m, then m ≤ n. We put m = n-a and we study the positive integers a arising in this way.

Kategorie tematyczne

• 11A41: Primes

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2013
• Tom: 130
• Numer: 1
• Strony: 127-137

Daty

wydano

2013

Twórcy

autor

Kevin Broughan

• Department of Mathematics, University of Waikato, Private Bag 3105, Hamilton, New Zealand

autor

Kevin Ford

• Department of Mathematics, The University of Illinois, at Urbana-Champaign Urbana, 1409 West Green St., Champaign, IL 61801, U.S.A.

autor

Florian Luca

• Fundación Marcos Moshinsky, Instituto de Ciencias Nucleares UNAM, Circuito Exterior, C.U., Apdo. Postal 70-543, México, D.F. 04510, Mexico

Identyfikatory

DOI

10.4064/cm130-1-11