Factors of a perfect square

• Autorzy: Tsz Ho Chan
• Języki publikacji: EN

Abstrakty

EN

We consider a conjecture of Erdős and Rosenfeld and a conjecture of Ruzsa when the number is a perfect square. In particular, we show that every perfect square n can have at most five divisors between $√n - ∜n(log n)^{1/7}$ and $√n + ∜n(log n)^{1/7}$.

Kategorie tematyczne

• 11A51: Factorization; primality
• 11J86: Linear forms in logarithms; Baker's method

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 163
• Numer: 2
• Strony: 141-143

Daty

wydano

2014

Twórcy

autor

Tsz Ho Chan

• Department of Arts and Sciences, Victory University, 255 N. Highland Street, Memphis, TN 38111, U.S.A.

Identyfikatory

DOI

10.4064/aa163-2-4