On Pillai's problem with \(X\)-coordinates of Pell equations and powers of 2

DOI10.1016/j.jnt.2019.03.010zbMath1465.11086OpenAlexW2940985588WikidataQ127975159 ScholiaQ127975159MaRDI QIDQ2312897

Florian Luca, Harold Erazo, Carlos Alexis Gómez Ruiz

Publication date: 18 July 2019

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2019.03.010

zbMATH Keywords

Pell equationPillai's problemexponential diophantine equations

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (6)

On a variant of Pillai problem: integers as difference between generalized Pell numbers and perfect powers ⋮ Pillai's equation in polynomials ⋮ Sums of \(S\)-units in the solution sets of generalized Pell equations ⋮ On b -repdigits as product of consecutive of Lucas members ⋮ On the \(X\)-coordinates of Pell equations of the form \(px^2\) ⋮ On Pillai’s problem with X-coordinates of Pell equations and powers of 2 II

Cites Work

• On a variant of Pillai's problem. II.
• On the solutions of the congruence 𝑛²≡1(𝑚𝑜𝑑𝜙²(𝑛))
• Linear forms in two logarithms and interpolation determinants II
• My Numbers, My Friends
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