Some applications of the double large sieve

DOI10.1007/s00605-012-0447-0zbMath1331.11064OpenAlexW1965907188MaRDI QIDQ1955624

Andreas J. Weingartner, Roger C. Baker

Publication date: 17 June 2013

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-012-0447-0

zbMATH Keywords

Davenport-Heilbronn methodsums over primesdiscrepancy modulo oneexponential sums with monomialsthe alternative sieve

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Applications of sieve methods (11N36) Sums over primes (11L20)

Related Items (15)

On a ternary Diophantine equation involving fractional powers with prime variables of a special form ⋮ A ternary Diophantine inequality with prime numbers of a special form ⋮ kth powers in Piatetski-Shapiro sequences ⋮ A hybrid of two theorems of Piatetski-Shapiro ⋮ On a Diophantine inequality over primes ⋮ A quaternary Diophantine inequality with prime numbers of a special form ⋮ Diophantine inequalities over Piatetski-Shapiro primes ⋮ Some Diophantine equations and inequalities with primes ⋮ On a Diophantine inequality involving prime numbers ⋮ On two Diophantine inequalities over primes ⋮ A system of two Diophantine inequalities with primes ⋮ Diophantine approximation over Piatetski-Shapiro primes ⋮ On a Diophantine equation with prime numbers ⋮ A Diophantine inequality with four prime variables ⋮ On a ternary Diophantine inequality over primes

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a Diophantine inequality over primes. II
• Exponential sums with monomials
• On a Diophantine inequality involving prime numbers. III
• On a Diophantine inequality involving prime powers
• On the distribution of \(p^\alpha\) modulo one
• Topics in multiplicative number theory
• Three-dimensional exponential sums with monomials
• Prime Numbers in Short Intervals and a Generalized Vaughan Identity
• On a diophantine inequality involving prime numbers
• A diophantine inequality involving prime powers
• THE SQUARE-FREE DIVISOR PROBLEM
• On an equation with prime numbers
• On the Waring–Goldbach problem with small non-integer exponent
• Multiple exponential sums with monomials
• Exponential sums and the Riemann zeta function v
• Sums of two relatively prime cubes
• SOME RESULTS IN THE ADDITIVE PRIME-NUMBER THEORY
• On Indefinite Quadratic Forms in Five Variables
• Multiple exponential sums with monomials and their applications in number theory

This page was built for publication: Some applications of the double large sieve