{ "id": "2011.02975", "version": "v1", "published": "2020-11-05T17:03:08.000Z", "updated": "2020-11-05T17:03:08.000Z", "title": "Solutions to difference equations have few defects", "authors": [ "Patrick Ingram" ], "categories": [ "math.NT", "math.CV" ], "abstract": "We demonstrate a strong form of Nevanlinna's Second Main Theorem for solutions to difference equations f(z+1)=R(z, f(z)), with the coefficients of R growing slowly relative to f, and R of degree at least 2 in the second coordinate.", "revisions": [ { "version": "v1", "updated": "2020-11-05T17:03:08.000Z" } ], "analyses": { "keywords": [ "difference equations", "nevanlinnas second main theorem", "strong form", "second coordinate", "demonstrate" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }