Repdigits as sums of three Padovan numbers

DOI10.1007/s40590-019-00269-9zbMath1464.11022arXiv1907.07231OpenAlexW2990850069WikidataQ96577875 ScholiaQ96577875MaRDI QIDQ2188995

Mahadi Ddamulira

Publication date: 15 June 2020

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

Full work available at URL: https://arxiv.org/abs/1907.07231

zbMATH Keywords

Baker's methodlinear form in logarithmsrepdigitPadovan 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 (8)

Padovan or Perrin numbers that are concatenations of two distinct base \(b\) repdigits ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Padovan numbers which are palindromic concatenations of two distinct repdigits ⋮ Repdigits as products of consecutive Padovan or Perrin numbers ⋮ Padovan numbers that are concatenations of two distinct repdigits ⋮ On concatenations of Fibonacci and Lucas numbers ⋮ Perrin numbers that are concatenations of two repdigits

Uses Software

• OEIS

Cites Work

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• Repdigits as sums of three Pell numbers
• Linear combinations of factorials and \(S\)-units in a binary recurrence sequence
• Repdigits as sums of four Pell numbers
• Classical and modular approaches to exponential Diophantine equations. I: Fibonacci and Lucas perfect powers
• An explicit lower bound for a homogeneous rational linear form in the logarithms of algebraic numbers. II
• Repdigits as sums of three Lucas numbers

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