{ "id": "1803.05141", "version": "v1", "published": "2018-03-14T05:41:59.000Z", "updated": "2018-03-14T05:41:59.000Z", "title": "Arithmetic Functions of Balancing Numbers", "authors": [ "Manasi Kumari Sahukar", "G. K. Panda" ], "categories": [ "math.NT" ], "abstract": "Two inequalities involving the Euler totient function and the sum of the $k$-th powers of the divisors of balancing numbers are explored.", "revisions": [ { "version": "v1", "updated": "2018-03-14T05:41:59.000Z" } ], "analyses": { "subjects": [ "11B39", "11A25" ], "keywords": [ "balancing numbers", "arithmetic functions", "euler totient function", "th powers" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }