A new upper bound for odd perfect numbers of a special form

DOI10.4064/cm7339-3-2018zbMath1457.11011arXiv1706.09341OpenAlexW2726999332WikidataQ114022015 ScholiaQ114022015MaRDI QIDQ5742270

Tomohiro Yamada

Publication date: 13 May 2019

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.09341

zbMATH Keywords

exponential Diophantine equationsarithmetic functionsodd perfect numbersthe sum of divisors

Mathematics Subject Classification ID

Arithmetic functions; related numbers; inversion formulas (11A25) Exponential Diophantine equations (11D61) Linear forms in logarithms; Baker's method (11J86)

Related Items (1)

An exponential diophantine equation related to odd perfect numbers

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some new results on odd perfect numbers
• The non-existence of odd perfect numbers of a certain form
• On the generalized Ramanujan-Nagell equation I
• A New Result Concerning the Structure of Odd Perfect Numbers
• Odd perfect numbers of a special form
• Sätze über Kreisteilungspolynome und ihre Andwendungen auf einige zahlentheoretische Probleme. I.

This page was built for publication: A new upper bound for odd perfect numbers of a special form