Arithmetic properties of the sum of divisors

DOI10.1016/j.jnt.2020.11.014zbMath1468.11011arXiv2007.03088OpenAlexW3115383609MaRDI QIDQ2660323

Victor H. Moll, Diego Villamizar, Vaishavi Sharma, Tewodoros Amdeberhane

Publication date: 29 March 2021

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.03088

zbMATH Keywords

divisor functionfloor and ceiling functionMersenne primes\(p\)-adic valuationsLjunggren-Nagell Diophantine equationq-bracketsRamanujan first letter to Hardy

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Exponential Diophantine equations (11D61) Primes (11A41)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The 2-adic valuation of a sequence arising from a rational integral
• The Nagell-Ljunggren equation \(\frac{x^n-1}{x-1}=y^q\)
• The Nagell-Ljunggren equation via Runge's method
• The power of \(q\). A personal journey
• On the Nagell-Ljunggren equation $(x^n - 1)/(x - 1) = y^q$
• The 2-adic Valuation of Stirling Numbers

This page was built for publication: Arithmetic properties of the sum of divisors