On the \(x\)-coordinates of Pell equations that are sums of two Padovan numbers

DOI10.1007/s40590-021-00312-8zbMath1471.11064OpenAlexW3129983046WikidataQ117384924 ScholiaQ117384924MaRDI QIDQ2024048

Mahadi Ddamulira

Publication date: 3 May 2021

Published in: Boletín de la Sociedad Matemática Mexicana. Third Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40590-021-00312-8

zbMATH Keywords

Pell equationreduction methodlinear form in logarithmsPadovan number

Mathematics Subject Classification ID

Counting solutions of Diophantine equations (11D45) Exponential Diophantine equations (11D61) Fibonacci and Lucas numbers and polynomials and generalizations (11B39) Linear forms in logarithms; Baker's method (11J86)

Related Items (4)

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Uses Software

• OEIS

Cites Work

• Unnamed Item
• $X$-coordinates of Pell equations as sums of two tribonacci numbers
• \(X\)-coordinates of Pell equations which are Lucas numbers
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• On the \(x\)-coordinates of Pell equations which are \(k\)-generalized Fibonacci numbers
• \(x\)-Coordinates of Pell equations which are Tribonacci numbers. II
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• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• On $X$-coordinates of Pell equations which are repdigits
• On the $x$-coordinates of Pell equations which are rep-digits
• On the $x$-coordinates of Pell equations which are Fibonacci numbers
• On the $X$-coordinates of Pell equations which are Tribonacci numbers
• On the $x$-coordinates of Pell equations which are Fibonacci numbers II
• Powers of two as sums of two k-Fibonacci numbers
• THE EQUATIONS 3x²−2 = y² AND 8x²−7 = z²
• The X -coordinates of Pell equations and Padovan numbers
• Number Theory

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