Quadratic equations with five prime unknowns

DOI10.1016/j.jnt.2004.03.007zbMath1080.11069OpenAlexW2119476796MaRDI QIDQ1876238

Angel V. Kumchev, Stephen Kwok-Kwong Choi

Publication date: 16 August 2004

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2004.03.007

zbMATH Keywords

circle methodHardy-Littlewood methodquadratic equationsWeyl sums over primessmall prime solutions

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55)

Related Items

Diagonal Diophantine equations with small prime variables ⋮ Small prime solutions of a nonlinear equation ⋮ Small solutions of an equation with unequal powers of primes ⋮ Small prime solutions of a Diophantine equation with one prime and five cubes of primes ⋮ On sums of squares of primes. II ⋮ Small prime solutions to diagonal Diophantine equations

Cites Work

• On Weyl sums over primes and almost primes
• Small prime solutions of some additive equations
• Small prime solutions of quadratic equations II
• The exceptional set of Goldbach's problem
• Small Prime Solutions of Quadratic Equations
• On the Waring–Goldbach Problem: Exceptional Sets for Sums of Cubes and Higher Powers