{ "id": "1510.03422", "version": "v1", "published": "2015-10-12T19:00:28.000Z", "updated": "2015-10-12T19:00:28.000Z", "title": "Notes on the Diophantine Equation A^4+aB^4=C^4+aD^4", "authors": [ "Paul A. Roediger" ], "comment": "7 pages", "categories": [ "math.NT" ], "abstract": "A new formulation of the subject equation is presented. Several parametric and semi-parametric solutions are derived. Originally presented in 1972, two of the then new parametric solutions for a=-1 were later published in a comprehensive survey of the a=1 case.", "revisions": [ { "version": "v1", "updated": "2015-10-12T19:00:28.000Z" } ], "analyses": { "subjects": [ "11D25" ], "keywords": [ "diophantine equation", "subject equation", "semi-parametric solutions" ], "note": { "typesetting": "TeX", "pages": 7, "language": "en", "license": "arXiv", "status": "editable" } } }