Divisibility on the sequence of perfect squares minus one: the gap principle

DOI10.1016/J.JNT.2017.08.032zbMath1420.11020OpenAlexW2757585134MaRDI QIDQ1679636

Tsz Ho Chan, Peter Cho-Ho Lam, Stephen Kwok-Kwong Choi

Publication date: 21 November 2017

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.08.032

zbMATH Keywords

Pell equationsgap principlequadratic congruence

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) Congruences; primitive roots; residue systems (11A07) Density, gaps, topology (11B05)

Related Items (2)

Gap principle of divisibility sequences of polynomials ⋮ GAPS BETWEEN DIVISIBLE TERMS IN

Cites Work

• Almost powers in short intervals
• Common factors among pairs of consecutive integers

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