Quotient Sets and Diophantine Equations

DOI10.4169/AMER.MATH.MONTHLY.118.08.704zbMath1254.11012OpenAlexW40509309WikidataQ58272812 ScholiaQ58272812MaRDI QIDQ3095488

Daniel E. Poore, Noah Robin Simon, Vincent Selhorst-Jones, Stephan Ramon Garcia

Publication date: 2 November 2011

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/amer.math.monthly.118.08.704

zbMATH Keywords

asymptotic densitylinear diophantine equationquotient seteverywhere density

Mathematics Subject Classification ID

Density, gaps, topology (11B05) Linear Diophantine equations (11D04)

Related Items (13)

On the \(p\)-adic denseness of the quotient set of a polynomial image ⋮ \(p\)-adic quotient sets. II: Quadratic forms ⋮ Quotients of Hurwitz Primes ⋮ Quotients of Fibonacci Numbers ⋮ -ADIC QUOTIENT SETS: LINEAR RECURRENCE SEQUENCES ⋮ DIRECTIONS SETS: A GENERALISATION OF RATIO SETS ⋮ Lateral Movement in Undergraduate Research: Case Studies in Number Theory ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A note on \(p\)-adic denseness of quotients of values of quadratic forms ⋮ On fractionally dense sets ⋮ \(p\)-adic quotient sets: diagonal forms ⋮ \(p\)-adic quotient sets: cubic forms

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