Results 201 to 210 of about 24,999 (231)

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.
openaire   +4 more sources

Exponential sums over primes in short intervals

Science in China Series A, 2006
Let \(\Lambda(m)\) be von Mangoldt's function, \(k \in \mathbb N\), \(2 \leq y \leq x\), and \(\alpha = a/q + \lambda\), with \((a, q) = 1\). In this paper, the authors prove that \[ \begin{multlined} \sum_{x < m \leq x + y} \Lambda(m)\exp(2\pi i\alpha m^k) \ll (qx)^{\epsilon} \Big( yx^{-1/2}(q\Xi)^{1/2} + x^{1/2}q^{1/2}\Xi^{1/6}\\ + y^{1/2}x^{3/10 ...
Liu, Jianya, Lü, Guangshi, Zhan, Tao
openaire   +4 more sources

Sums over Primes

2021
See the abstract in the attached pdf.
openaire   +2 more sources

EXPONENTIAL SUMS OVER PRIMES IN RESIDUE CLASSES

International Journal of Number Theory, 2010
We specialize a problem studied by Elliott, the behavior of arbitrary sequences ap of complex numbers on residue classes to prime moduli to the case ap = e(αp). For these special cases, we obtain under certain additional conditions improvements on Elliott's results.
Maier, H., Sankaranarayanan, A.
openaire   +2 more sources

Sum of short exponential sums over prime numbers

Doklady Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Rakhmonov, Z. Kh., Rakhmonov, F. Z.
openaire   +2 more sources

Exponential sums over primes with multiplicative coefficients

Mathematische Zeitschrift, 2023
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ramaré, Olivier, Viswanadham, G. K.
openaire   +2 more sources

Exponential sums over primes in short intervals

Acta Mathematica Hungarica, 1986
Let \[ S(x,y,\alpha)=\sum_{x ...
A. BALOG, PERELLI, ALBERTO
openaire   +2 more sources

Kloosterman sums over primes of composite moduli

Research in Number Theory, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

An Exponential Sum Over Primes

2017
In additive prime number theory the starting point of many investigations is the generating function (1) S ( α )
openaire   +1 more source

Exponential sums over primes and the prime twin problem

Acta Mathematica Hungarica, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source