On fundamental sets over a finite field.
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Abbas, Yousef, Liang, Joseph J. (1985)
International Journal of Mathematics and Mathematical Sciences
Robert Gilmer (1972)
Mathematische Annalen
R. Fray, R. Gilmer (1972)
Mathematische Annalen
Guang-Liang Zhou, Zhi-Wei Sun (2022)
Czechoslovak Mathematical Journal
We study sums and products in a field. Let be a field with , where is the characteristic of . For any integer , we show that any can be written as with and , and that for any we can write every as with and . We also prove that for any and there are such that .
H. Niederreiter (1976)
Mathematica Scandinavica
Víctor Cuauhtemoc García (2013)
Journal de Théorie des Nombres de Bordeaux
In the present paper we investigate distributional properties of sparse sequences modulo almost all prime numbers. We obtain new results for a wide class of sparse sequences which in particular find applications on additive problems and the discrete Littlewood problem related to lower bound estimates of the -norm of trigonometric sums.
Arne Winterhof (1998)
Acta Arithmetica
M. Dodson (1971)
Acta Arithmetica
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