Fundamental units and consecutive squarefull numbers

DOI10.1142/S1793042117500142zbMath1419.11006WikidataQ114072002 ScholiaQ114072002MaRDI QIDQ3179516

M. Ram Murty, Kevser Aktaş

Publication date: 21 December 2016

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

zbMATH Keywords

fundamental unitsabc-conjectureDiophantine equationsErdős conjectureconsecutive squarefull numbers

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (2)

Ambiguous solutions of a Pell equation ⋮ Arithmetic progressions in squarefull numbers

Cites Work

• The density of rational points on curves and surfaces. (With an appendix by J.-L. Colliot-Thélène).
• On Thue's equation
• Twins of powerful numbers
• The class-number of real quadratic number fields
• A NOTE ON UNITS OF REAL QUADRATIC FIELDS
• On a Pellian equation conjecture
• My Numbers, My Friends
• Problems in Algebraic Number Theory
• TWIN SQUAREFUL NUMBERS
• On the Diophantine Equation mX 2 - nY 2 = ± 1
• Powerful Numbers
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