Equal sums of like polynomials
Browning TD. 2005. Equal sums of like polynomials. Bulletin of the London Mathematical Society. 37(6), 801–808.
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Abstract
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.
Publishing Year
Date Published
2005-12-01
Journal Title
Bulletin of the London Mathematical Society
Publisher
John Wiley and Sons Ltd
Acknowledgement
grant number GR/R93155/01
Volume
37
Issue
6
Page
801 - 808
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Cite this
Browning TD. Equal sums of like polynomials. Bulletin of the London Mathematical Society. 2005;37(6):801-808. doi:10.1112/S0024609305004741
Browning, T. D. (2005). Equal sums of like polynomials. Bulletin of the London Mathematical Society. John Wiley and Sons Ltd. https://doi.org/10.1112/S0024609305004741
Browning, Timothy D. “Equal Sums of like Polynomials.” Bulletin of the London Mathematical Society. John Wiley and Sons Ltd, 2005. https://doi.org/10.1112/S0024609305004741.
T. D. Browning, “Equal sums of like polynomials,” Bulletin of the London Mathematical Society, vol. 37, no. 6. John Wiley and Sons Ltd, pp. 801–808, 2005.
Browning TD. 2005. Equal sums of like polynomials. Bulletin of the London Mathematical Society. 37(6), 801–808.
Browning, Timothy D. “Equal Sums of like Polynomials.” Bulletin of the London Mathematical Society, vol. 37, no. 6, John Wiley and Sons Ltd, 2005, pp. 801–08, doi:10.1112/S0024609305004741.