{ "id": "1707.07229", "version": "v1", "published": "2017-07-22T22:55:54.000Z", "updated": "2017-07-22T22:55:54.000Z", "title": "On a problem of Pillai with Fibonacci numbers and powers of 2", "authors": [ "Mahadi Ddamulira", "Florian Luca", "Mihaja Rakotomalala" ], "comment": "11 pages", "doi": "10.1007/s12044-017-0338-3", "categories": [ "math.NT" ], "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.", "revisions": [ { "version": "v1", "updated": "2017-07-22T22:55:54.000Z" } ], "analyses": { "subjects": [ "11B39", "11J86" ], "keywords": [ "fibonacci number", "representations" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer" }, "note": { "typesetting": "TeX", "pages": 11, "language": "en", "license": "arXiv", "status": "editable" } } }