{ "id": "0711.4898", "version": "v1", "published": "2007-11-30T10:49:50.000Z", "updated": "2007-11-30T10:49:50.000Z", "title": "Values of coefficients of cyclotomic polynomials II", "authors": [ "Chun-Gang Ji", "Wei-Ping Li", "Pieter Moree" ], "comment": "5 pages", "journal": "Discrete Math. 309 (2009), 1720-1723", "categories": [ "math.NT" ], "abstract": "Let a(n,k) be the kth coefficient of the nth cyclotomic polynomial. The first two authors showed in part I that if m is a prime power and n and k range over the non-negative integers, then a(mn,k) assumes every integer value. Here this result is extended to the case where m is arbitrary. The proof use some properties of reciprocal cyclotomic polynomials (see arXiv:0709.1570).", "revisions": [ { "version": "v1", "updated": "2007-11-30T10:49:50.000Z" } ], "analyses": { "subjects": [ "11B83", "11C08" ], "keywords": [ "reciprocal cyclotomic polynomials", "nth cyclotomic polynomial", "prime power", "integer value", "kth coefficient" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 5, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2007arXiv0711.4898J" } } }