A Diophantine problem with a prime and three squares of primes

DOI10.1016/j.jnt.2012.06.015zbMath1306.11032arXiv1206.0246OpenAlexW3022358376MaRDI QIDQ455808

Alessandro Zaccagnini, Alessandro Languasco

Publication date: 22 October 2012

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

Full work available at URL: https://arxiv.org/abs/1206.0246

zbMATH Keywords

Diophantine inequalitiesGoldbach-type theoremsHardy-Littlewood method

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) Diophantine inequalities (11D75) Diophantine inequalities (11J25)

Related Items (18)

Diophantine approximation with four squares and one \(k\)th power of primes ⋮ A note on Diophantine approximation by unlike powers of primes ⋮ On a ternary Diophantine inequality ⋮ Diophantine approximation by unlike powers of primes ⋮ One Diophantine inequality with unlike powers of prime variables ⋮ Diophantine inequality with four squares and one $k$th power of primes ⋮ On Diophantine problems with mixed powers of primes ⋮ Diophantine approximation with one prime and three squares of primes ⋮ Diophantine approximation with one prime and three squares of primes ⋮ Diophantine approximation with mixed powers of primes ⋮ On Diophantine approximation by unlike powers of primes ⋮ Results of Diophantine approximation by unlike powers of primes ⋮ Diophantine approximation with two primes and powers of two ⋮ Diophantine inequality by unlike powers of primes ⋮ Diophantine inequality by unlike powers of primes ⋮ Diophantine approximation with one prime, two squares of primes and one \(k\)th power of a prime ⋮ A Diophantine inequality with four squares and one $k$th power of primes ⋮ On Diophantine approximation with one prime and three squares of primes

Cites Work

• Unnamed Item
• On the fractional parts of {x/n} and related sequences. II, III
• Diophantine approximation with primes and powers of two
• On a diophantine problem with one prime, two squares of primes and s powers of two
• On a Diophantine problem with two primes and s powers of two
• The Distribution of αp ² Modulo 1
• Diophantine Approximation by Prime Numbers, II
• On Linnik's approximation to Goldbach's problem, I
• Representation of odd integers as the sum of one prime, two squares of primes and powers of 2
• Diophantine Approximation by Prime Numbers, I
• Über die Summe aus einem Quadrat und einem Primzahlquadrat.
• Diophantine approximation with one prime and three squares of primes

This page was built for publication: A Diophantine problem with a prime and three squares of primes