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- W4307802672 abstract "We obtain a new bound for the number of solutions to polynomial equations in cosets of multiplicative subgroups in finite fields, which generalises previous results of P. Corvaja and U. Zannier (2013). We also obtain a conditional improvement of recent results of J. Bourgain, A. Gamburd and P. Sarnak (2016) and S. V. Konyagin, S. V. Makarychev, I. E. Shparlinski and I. V. Vyugin (2019) on the structure of solutions to the reduction of the Markoff equation $x^2 + y^2 + z^2 = 3 x yz$ modulo a prime $p$." @default.
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- W4307802672 date "2020-05-10" @default.
- W4307802672 modified "2023-09-29" @default.
- W4307802672 title "Polynomial Equations in Subgroups and Applications" @default.
- W4307802672 doi "https://doi.org/10.48550/arxiv.2005.05315" @default.
- W4307802672 hasPublicationYear "2020" @default.
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