Results 191 to 200 of about 571 (219)

Sum of short exponential sums over prime numbers

Doklady Mathematics, 2014
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Rakhmonov, Z. Kh., Rakhmonov, F. Z.
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Exponential sums over primes with multiplicative coefficients

Mathematische Zeitschrift, 2023
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Ramaré, Olivier, Viswanadham, G. K.
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Exponential sums over primes and the prime twin problem

Acta Mathematica Hungarica, 2010
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An Exponential Sum Over Primes

2017
In additive prime number theory the starting point of many investigations is the generating function (1) S ( α )
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Exponential sums over primes in short intervals

Acta Mathematica Hungarica, 1986
Let \[ S(x,y,\alpha)=\sum_{x ...
A. BALOG, PERELLI, ALBERTO
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Short cubic exponential sums over primes

Proceedings of the Steklov Institute of Mathematics, 2017
Vinogradov started the study of short exponential sums over primes of the form \[ \sum\limits_{x ...
Rakhmonov, Z. Kh., Rakhmonov, F. Z.
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On Averages of Exponential Sums over Primes

1987
In this paper we shall be concerned with obtaining approximations to and estimates for the sum $${{\text{S}}_{\text{N}}}(\alpha ){\text{ = }}\sum\limits_{{\text{n}} \leqslant {\text{N}}} {{\text{e}}({\text{n}}\alpha ) \wedge {\text{(n)}}}$$ where e(x) = exp(2πix), α is real, and Λ(n) is the von Mangoldt function.
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Kloosterman sums over primes of composite moduli

Research in Number Theory, 2020
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On a family of functions defined over sums of primes

J. Integer Seq., 2019
The author studies the sum \(\displaystyle S_{r,m}(x)=\sum_{p \operatorname{prime}, p\leq x} p^r (\log p)^m\) where \(r,m\) are real parameters such that \(S_{r,m}(x)\) diverges as \(x\rightarrow \infty\). The goal is to give an asymptotic and investigate \(S_{r,m}(p_n)\) where \(p_n\) denotes the \(n\)th prime. \textit{J.-P.
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Exponential sums over cubes of primes in short intervals and its applications

Mathematische Zeitschrift, 2021
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