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On b-Repdigits as products or sums of Fibonacci, Pell, Balancing, and Jacobsthal Numbers

Chèfiath Adegbindin
Université d’Abomey-Calavi, Benin
Séminaire Théorie des Nombres et Théorie de l’Information
lun 21/07/2025 - 17:00 lun 21/07/2025 - 18:00

Let b ≥ 2 be an integer. In this work , we study the repdigits in base b that can be expressed as sums or products of Fibonacci, Pell, Balancing and Jacobsthal numbers. The proofs of our main theorems use lower bounds for linear forms in logarithms of algebraic numbers and a version of the Baker-Davenport reduction method.

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  • Nantes Université
  • CNRS
  • LMJL
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