Short cubic exponential sums over primes

被引：0
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作者：
Z. Kh. Rakhmonov
F. Z. Rakhmonov
机构：
[1] Academy of Sciences of the Republic of Tajikistan,A. Juraev Institute of Mathematics
来源：
Proceedings of the Steklov Institute of Mathematics | 2017年 / 296卷
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摘要：
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<n≤x Λ(n)e(αn3), where α = a/q + θ/q2, (a, q) = 1, L32(B+20) < q ≤ y5x−2L−32(B+20), |θ| ≤ 1, Λ is the von Mangoldt function, and e(t) = e2πit.
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页码：211 / 233
页数：22
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