Solutions of Two Diophantine Equations

Authors

  • Mustafa Ismail Department of Mathematics, Faculty of Science, Ain Shams University, Egypt
  • Ahmed Gaber Department of Mathematics, Faculty of Science, Ain Shams University,Egypt
  • Mohammed Abdul Azim Seoud Department of Mathematics, Faculty of Science, Ain Shams University,Egypt
  • Mohammed Anwar Department of Mathematics, Faculty of Science, Ain Shams University,Egypt

DOI:

https://doi.org/10.52280/2k0qh424

Keywords:

Linearformsinlogarithms, Reductionmethod, Sequences(Padovan,Perrin,and Jacobsthal)

Abstract

Suppose that the sequences {Pi}i≥0, {Ri}i≥0, and {Ji}i≥0  correspond to the Padovan numbers, Perrin numbers, and Jacobsthal num bers, respectively. In this paper, we determine all Padovan and Perrin  numbers that can be written as the sum of two Jacobsthal numbers by ap plying Baker’s method for linear forms in logarithms, combined with the  reduction technique of Dujella and Peth˝o.

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Published

2025-12-17

Issue

Vol. 57 No. 7 (2025): PUJM

Section

Articles

License

Copyright (c) 2025 Mustafa Ismail, Ahmed Gaber, Mohammed Abdul Azim Seoud, Mohammed Anwar

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Solutions of Two Diophantine Equations. (2025). Punjab University Journal of Mathematics, 57(7), 743-756. https://doi.org/10.52280/2k0qh424