{"doi":"10.1007/s00209-004-0719-z","page":"233 - 247","type":"journal_article","_id":"214","oa":1,"publication":"Mathematische Zeitschrift","issue":"2","publication_status":"published","author":[{"full_name":"Timothy Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","orcid":"0000-0002-8314-0177","last_name":"Browning"},{"full_name":"Heath-Brown, Roger","first_name":"Roger","last_name":"Heath Brown"}],"date_created":"2018-12-11T11:45:15Z","status":"public","publist_id":"7699","date_updated":"2021-01-12T06:55:33Z","volume":251,"abstract":[{"text":"Given an absolutely irreducible ternary form F, the purpose of this paper is to produce better upper bounds for the number of integer solutions to the equation F=0, that are restricted to lie in very lopsided boxes. As an application of the main result, a new paucity estimate is obtained for equal sums of two like powers.","lang":"eng"}],"year":"2005","month":"09","publisher":"Unknown","day":"01","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/math/0506497"}],"quality_controlled":0,"title":"Plane curves in boxes and equal sums of two powers","citation":{"mla":"Browning, Timothy D., and Roger Heath Brown. “Plane Curves in Boxes and Equal Sums of Two Powers.” <i>Mathematische Zeitschrift</i>, vol. 251, no. 2, Unknown, 2005, pp. 233–47, doi:<a href=\"https://doi.org/10.1007/s00209-004-0719-z\">10.1007/s00209-004-0719-z</a>.","short":"T.D. Browning, R. Heath Brown, Mathematische Zeitschrift 251 (2005) 233–247.","ama":"Browning TD, Heath Brown R. Plane curves in boxes and equal sums of two powers. <i>Mathematische Zeitschrift</i>. 2005;251(2):233-247. doi:<a href=\"https://doi.org/10.1007/s00209-004-0719-z\">10.1007/s00209-004-0719-z</a>","ieee":"T. D. Browning and R. Heath Brown, “Plane curves in boxes and equal sums of two powers,” <i>Mathematische Zeitschrift</i>, vol. 251, no. 2. Unknown, pp. 233–247, 2005.","chicago":"Browning, Timothy D, and Roger Heath Brown. “Plane Curves in Boxes and Equal Sums of Two Powers.” <i>Mathematische Zeitschrift</i>. Unknown, 2005. <a href=\"https://doi.org/10.1007/s00209-004-0719-z\">https://doi.org/10.1007/s00209-004-0719-z</a>.","ista":"Browning TD, Heath Brown R. 2005. Plane curves in boxes and equal sums of two powers. Mathematische Zeitschrift. 251(2), 233–247.","apa":"Browning, T. D., &#38; Heath Brown, R. (2005). Plane curves in boxes and equal sums of two powers. <i>Mathematische Zeitschrift</i>. Unknown. <a href=\"https://doi.org/10.1007/s00209-004-0719-z\">https://doi.org/10.1007/s00209-004-0719-z</a>"},"date_published":"2005-09-01T00:00:00Z","extern":1,"intvolume":"       251"}