Abstract
For y ≥ x4/5L8B+151 (where L = log(xq) and B is an absolute constant), a nontrivial estimate is obtained for short cubic exponential sums over primes of the form S3(α; x, y) = ∑x−y < q ≤ y5x−2L−32(B+20), |θ| ≤ 1, Λ is the von Mangoldt function, and e(t) = e2πit.
Cite
CITATION STYLE
APA
Rakhmonov, Z. K., & Rakhmonov, F. Z. (2017). Short cubic exponential sums over primes. Proceedings of the Steklov Institute of Mathematics, 296(1), 211–233. https://doi.org/10.1134/S0081543817010175
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