Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika

Вестник Московского Университета. Математика, Механика - Содержание

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. 66, N 3, 2011.].

An estimate of the modulus of an exponential sum over primes

S₂(α; x, 1) = Σ_n≤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

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