Common factors among pairs of consecutive integers

DOI10.1142/S1793042118500525zbMath1429.11004MaRDI QIDQ4609578

Tsz Ho Chan

Publication date: 4 April 2018

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

zbMATH Keywords

hyperelliptic curvessquaresabc conjecturecommon factorsconsecutive integersPell's equations

Mathematics Subject Classification ID

Quadratic and bilinear Diophantine equations (11D09) [https://portal.mardi4nfdi.de/w/index.php?title=+Special%3ASearch&search=%22Curves+of+arbitrary+genus+or+genus+%28%0D%0Ae+1%29+over+global+fields%22&go=Go Curves of arbitrary genus or genus ( e 1) over global fields (11G30)] Special sequences and polynomials (11B83) Multiplicative structure; Euclidean algorithm; greatest common divisors (11A05)

Related Items (3)

Gap principle of divisibility sequences of polynomials ⋮ Divisibility on the sequence of perfect squares minus one: the gap principle ⋮ GAPS BETWEEN DIVISIBLE TERMS IN

Cites Work

• An upper bound for the size of integral solutions to \(Y^ m= f(X)\)
• Factors of almost squares and lattice points on circles
• The factor-difference set of integers
• Factors of a perfect square

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