A remark on trigonometric sums
Huixue Lao (2008)
Acta Arithmetica
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Displaying similar documents to “Kloosterman sums with prime variable”
A remark on trigonometric sums
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We generalize some of our previous results on Kloosterman sums [Izv. Mat., to appear] for prime moduli to general moduli. This requires establishing the corresponding additive properties of the reciprocal-set I¯¹ = {x¯¹: x ∈ I}, where I is an interval in the ring of residue classes modulo a large positive integer. We apply our bounds on multilinear exponential sums to the Brun-Titchmarsh theorem and the estimate of very short Kloosterman sums, hence generalizing our earlier work to the...
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