On the distribution of sparse sequences in prime fields and applications

Details On the distribution of sparse sequences in prime fields and applications On the distribution of sparse sequences in prime fields and applications

2010-08-25

arxiv.org/abs/1008.4180v1

Mathematics

Number Theory

Scientific paper

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 $L_1$-norm of trigonometric sums.

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