Counterexamples to a Conjecture by Alaoglu and Erd Hos

2020/09/07 by Tibor Burdette, Ian Stewart, Burdette, Tibor +1
Mathematics · #Analytic Number Theory Research #Combinatorics #Conjecture #Counterexample #Discrete mathematics #Limits and Structures in Graph Theory #Mathematical economics #Mathematics #math.NT

paper · pdf · doi:10.48550/arxiv.2009.03306

published in arXiv (Cornell University) (Cornell University)

arxiv created 2020/09/07 · openalex publication_date 2020/09/07 · arxiv updated 2020/09/09 · openalex created_date 2022/07/25 · openalex updated_date 2026/07/28

Abstract

In this paper we use computational methods to disprove a conjecture by\nAlaoglu and Erd Hos regarding the superabundant numbers.\n

Related

• Superabundant Numbers and the Riemann Hypothesis
• Some of Erd\H os' unconventional problems in number theory, thirty-four years later
• Superabundant numbers, their subsequences and the Riemann hypothesis
• Delicacy of the Riemann hypothesis and certain subsequences of superabundant numbers
• A SAT Attack on the Erdos Discrepancy Conjecture