On a problem of Pillai with Fibonacci numbers and powers of 2

Mahadi Ddamulira; Florian Luca; Mihaja Rakotomalala

doi:10.1007/s12044-017-0338-3

On a problem of Pillai with Fibonacci numbers and powers of 2

Mahadi Ddamulira, Florian Luca, Mihaja Rakotomalala

Institute of Analysis and Number Theory (5010)

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we ﬁnd all integers c having at least two representations as a
difference between a Fibonacci number and a power of 2.

Original language	English
Pages (from-to)	411-421
Journal	Proceedings/ Indian Academy of Sciences / Mathematical Sciences
Volume	127
Issue number	3
DOIs	https://doi.org/10.1007/s12044-017-0338-3
Publication status	Published - 10 May 2017

Keywords

Fibonacci numbers
Linear forms in logarithms
Reduction method.

ASJC Scopus subject areas

Algebra and Number Theory

Fields of Expertise

Information, Communication & Computing

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https://www.ias.ac.in/describe/article/pmsc/127/03/0411-0421Licence: CC BY-ND 4.0

Cite this

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abstract = "In this paper, we ﬁnd all integers c having at least two representations as adifference between a Fibonacci number and a power of 2.",

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AU - Luca, Florian

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AB - In this paper, we ﬁnd all integers c having at least two representations as adifference between a Fibonacci number and a power of 2.

KW - Fibonacci numbers

KW - Linear forms in logarithms

KW - Reduction method.

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JO - Proceedings/ Indian Academy of Sciences / Mathematical Sciences

JF - Proceedings/ Indian Academy of Sciences / Mathematical Sciences

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ER -

On a problem of Pillai with Fibonacci numbers and powers of 2

Abstract

Keywords

ASJC Scopus subject areas

Fields of Expertise

Access to Document

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Cite this