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Pure Mathematics 2020
二重指数和的边界及其应用
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Abstract:
[1] | Bourgain, J. (2009) On the Distribution of the Residues of Small Multiplicative Subgroups of . Israel Journal of Mathematics, 172, 61-74. https://doi.org/10.1007/s11856-009-0063-4 |
[2] | Hegyvari, N. and Hennecart, F. (2012) Distribution of Residues in Approximate Subgroups of . Proceedings of the American Mathematical Society, 140, 1-6. https://doi.org/10.1090/S0002-9939-2011-10866-9 |
[3] | Shparlinski, I.E. and Yau, K.H. (2017) Double Exponential Sums with Exponential Functions. International Journal of Number Theory, 13, 2531-2543. https://doi.org/10.1142/S179304211750141X |
[4] | Garaev, M.Z. (2019) Double Exponential Sums and Congruences with Intervals and Exponential Functions Modulo a Prime. Journal of Number Theory, 199, 377-388. https://doi.org/10.1016/j.jnt.2018.11.019 |
[5] | Bourgain, J., Konyagin, S.V. and Shparlinski, I.E. (2008) Product Sets of Rationals, Multiplicative Translates of Subgroups in Residue Rings, and Fixed Points of the Discrete Logarithm. International Mathematics Research Notices, 1 p. |