Diophantine approximation with one prime, two squares of primes and one kth power of a prime

Abstract

Let 10\varepsilon \gt 0, where ψ(k)=min114,14−5k28k\psi \left(k)=\min \left(\frac{1}{14},\frac{14-5k}{28k}\right).

Keywords

• diophantine inequalities
• goldbach-type problems
• hardy-littlewood method
• davenport-heilbronn method
• 11d75
• 11j25
• 11p32
• 11p55