arXiv:0707.4090 [math.NT]AbstractReferencesReviewsResources
On some properties of $σ(N)$
Published 2007-07-27Version 1
We show asymptotic upper and lower bounds for the greatest common divisor of N and $\sigma(N)$. We also show that there are infinitely many integers N with fairly large g.c.d. of N and $\sigma(N)$.
Comments: 10 pages
Categories: math.NT
Related articles: Most relevant | Search more
arXiv:1201.3139 [math.NT] (Published 2012-01-16)
On the Fourier transform of the greatest common divisor
Asymptotic Improvements of Lower Bounds for the Least Common Multiples of Arithmetic Progressions
arXiv:2411.06430 [math.NT] (Published 2024-11-10)
Arithmetic-term representations for the greatest common divisor