Arithmetic progressions in squarefull numbers

DOI10.1142/s1793042124500027arXiv2302.03113OpenAlexW4385606160MaRDI QIDQ6186042

Tsz Ho Chan, Prajeet Bajpai, Michael A. Bennett

Publication date: 9 January 2024

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

Full work available at URL: https://arxiv.org/abs/2302.03113

zbMATH Keywords

elliptic curvespowerful numberssquarefull numbersMasser-Oesterlé conjecture

Mathematics Subject Classification ID

Elliptic curves over global fields (11G05) Continued fractions and generalizations (11J70) Cubic and quartic Diophantine equations (11D25)

Cites Work

• On the distribution of square-full numbers in arithmetic progressions
• The number of cubefull numbers in an interval (supplement)
• The power of powerful numbers
• Squarefull numbers in arithmetic progression. II.
• LATTICE POINTS CLOSE TO A SMOOTH CURVE AND SQUAREFULL NUMBERS IN SHORT INTERVALS
• Fundamental units and consecutive squarefull numbers
• Some Computational Results on a Problem Concerning Powerful Numbers
• A conjecture of Erdös on continued fractions
• A conjecture of Erdös on 3-powerful numbers
• On a Conjecture of Erdös on 3-Powerful Numbers
• SQUAREFULL NUMBERS IN ARITHMETIC PROGRESSIONS
• Arithmetic Properties of Blocks of Consecutive Integers
• Powerful Numbers
• On a theorem of Erdős and Szekeres
• Variance of squarefull numbers in short intervals
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