{"abstract":[{"text":"Let f ∈ ℤ[x] be a polynomial of degree d. The paucity of non-trivial positive integer solutions to the equation f(x1)+f(x 2)=f(x3)+f(x4) is established, provided that d ≤ 7$. Also the corresponding situation is investigated for equal sums of three like polynomials.","lang":"eng"}],"status":"public","_id":"211","day":"01","acknowledgement":"grant number GR/R93155/01","page":"801 - 808","extern":1,"type":"journal_article","publication":"Bulletin of the London Mathematical Society","publisher":"John Wiley and Sons Ltd","author":[{"last_name":"Browning","full_name":"Timothy Browning","first_name":"Timothy D","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87"}],"intvolume":"        37","date_updated":"2021-01-12T06:55:22Z","date_created":"2018-12-11T11:45:14Z","issue":"6","title":"Equal sums of like polynomials","year":"2005","volume":37,"quality_controlled":0,"publist_id":"7700","doi":"10.1112/S0024609305004741","citation":{"apa":"Browning, T. D. (2005). Equal sums of like polynomials. <i>Bulletin of the London Mathematical Society</i>. John Wiley and Sons Ltd. <a href=\"https://doi.org/10.1112/S0024609305004741\">https://doi.org/10.1112/S0024609305004741</a>","chicago":"Browning, Timothy D. “Equal Sums of like Polynomials.” <i>Bulletin of the London Mathematical Society</i>. John Wiley and Sons Ltd, 2005. <a href=\"https://doi.org/10.1112/S0024609305004741\">https://doi.org/10.1112/S0024609305004741</a>.","ieee":"T. D. Browning, “Equal sums of like polynomials,” <i>Bulletin of the London Mathematical Society</i>, vol. 37, no. 6. John Wiley and Sons Ltd, pp. 801–808, 2005.","ama":"Browning TD. Equal sums of like polynomials. <i>Bulletin of the London Mathematical Society</i>. 2005;37(6):801-808. doi:<a href=\"https://doi.org/10.1112/S0024609305004741\">10.1112/S0024609305004741</a>","short":"T.D. Browning, Bulletin of the London Mathematical Society 37 (2005) 801–808.","ista":"Browning TD. 2005. Equal sums of like polynomials. Bulletin of the London Mathematical Society. 37(6), 801–808.","mla":"Browning, Timothy D. “Equal Sums of like Polynomials.” <i>Bulletin of the London Mathematical Society</i>, vol. 37, no. 6, John Wiley and Sons Ltd, 2005, pp. 801–08, doi:<a href=\"https://doi.org/10.1112/S0024609305004741\">10.1112/S0024609305004741</a>."},"month":"12","publication_status":"published","date_published":"2005-12-01T00:00:00Z"}