Repdigits Base b as Difference of Two Fibonacci Numbers
2022-04-15 08:23:28ZaferiarFatihErduvanandRefikKeskin
Journal of Mathematical Study 2022年1期
Zafer S?iar,Fatih Erduvanand Refik Keskin,?
1Bing¨ol University,Department of Mathematics,Bing¨ol 12000,Turkey.
2Sakarya University,Department of Mathematics,Sakarya TR-54187,Turkey.
Abstract.In this paper,we find all repdigits expressible as difference of two Fibonacci numbers in base b for 2≤b≤10.The largest repdigits in base b,which can be written as difference of two Fibonacci numbers are
Key words:Fibonacci numbers,repdigit,Diophantine equations,linear forms in logarithms.
1 Introduction
2 Auxiliary results
3 Main theorem
Acknowledgments
We thank the referee for his/her suggestions which improved the quality of this paper.
Journal of Mathematical Study2022年1期
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