Repdigits as sums of four Pell numbers

  • Florian Luca
  • Benedict Vasco Normenyo
  • Alain Togbé
Original Article

Abstract

In this paper, all base 10 repdigits expressible as sums of four Pell numbers are found.

Keywords

Pell numbers Rep-digit Linear forms in complex and p-adic logarithms 

Mathematics Subject Classification

11A25 11B39 11J86 

Notes

Acknowledgements

F. L. was supported in part by grant CPRR160325161141 and an A-rated scientist award both from the NRF of South Africa, the Focus Area: Number Theory grant from CoEMaSS, Wits, and by grant no. 17-02804S of the Czech Granting Agency. The authors would like to thank the referee for the valuable comments to improve the manuscript.

References

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Copyright information

© Sociedad Matemática Mexicana 2018

Authors and Affiliations

  1. 1.Institut de Mathématiques et de Sciences PhysiquesDangboBénin
  2. 2.School of MathematicsUniversity of the WitwatersrandWitsSouth Africa
  3. 3.Department of Mathematics, Faculty of SciencesUniversity of OstravaOstrava 1Czech Republic
  4. 4.Department of Mathematics, Statistics and Computer SciencePurdue University NorthwestWestvilleUSA

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