{ "id": "1906.10060", "version": "v1", "published": "2019-06-24T16:28:30.000Z", "updated": "2019-06-24T16:28:30.000Z", "title": "Harmonic Analysis on the Positive Rationals. Computation of Character Sums", "authors": [ "P. D. T. A. Elliott", "Jonathan Kish" ], "categories": [ "math.NT" ], "abstract": "The authors review results implicit in their recent paper [2] on the product/quotient representation of rationals by rationals of the type $( an + b )/ ( An+ B )$ and give a detailed account of a particular related non-intuitive simultaneous ( i.e. two dimensional ) representation of pairs of rationals.", "revisions": [ { "version": "v1", "updated": "2019-06-24T16:28:30.000Z" } ], "analyses": { "keywords": [ "character sums", "harmonic analysis", "positive rationals", "computation", "authors review results implicit" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }