Estimate of Quadratic Trigonometric Sums with Prime Numbers / Rakhmonov F.Z. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2011. № 3. P. 56-60 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].

An estimate of the modulus of an exponential sum over primes

S2(α; x, 1) = Σn≤x Λ(n) e (α (n+1)2),
is obtained, where α is approximated by a rational number with a large denominator.

Key words: exponential sum, prime numbers, Mobius function, Mangoldt function.

№ 3/2011