article published yes Timothy D Browning author 35827D50-F248-11E8-B48F-1D18A9856A870000-0002-8314-0177 A new &quot;polynomial sieve&quot; is presented and used to show that almost all integers have at most one representation as a sum of two values of a given polynomial of degree at least 3. Oxford University Press2014 eng 10.1093/imrn/rnt350 201571987 - 2019 https://research-explorer.ista.ac.at/record/19051 https://doi.org/10.1093/imrn/rnae066 yes T. D. Browning, “The polynomial sieve and equal sums of like polynomials,” <i>International Mathematics Research Notices</i>, vol. 2015, no. 7. Oxford University Press, pp. 1987–2019, 2014. Browning TD. The polynomial sieve and equal sums of like polynomials. <i>International Mathematics Research Notices</i>. 2014;2015(7):1987-2019. doi:<a href="https://doi.org/10.1093/imrn/rnt350">10.1093/imrn/rnt350</a> Browning TD. 2014. The polynomial sieve and equal sums of like polynomials. International Mathematics Research Notices. 2015(7), 1987–2019. Browning, Timothy D. “The Polynomial Sieve and Equal Sums of like Polynomials.” <i>International Mathematics Research Notices</i>. Oxford University Press, 2014. <a href="https://doi.org/10.1093/imrn/rnt350">https://doi.org/10.1093/imrn/rnt350</a>. Browning, T. D. (2014). The polynomial sieve and equal sums of like polynomials. <i>International Mathematics Research Notices</i>. Oxford University Press. <a href="https://doi.org/10.1093/imrn/rnt350">https://doi.org/10.1093/imrn/rnt350</a> T.D. Browning, International Mathematics Research Notices 2015 (2014) 1987–2019. Browning, Timothy D. “The Polynomial Sieve and Equal Sums of like Polynomials.” <i>International Mathematics Research Notices</i>, vol. 2015, no. 7, Oxford University Press, 2014, pp. 1987–2019, doi:<a href="https://doi.org/10.1093/imrn/rnt350">10.1093/imrn/rnt350</a>. 2542018-12-11T11:45:27Z2025-09-09T12:16:44Z