On sums of squares of primes. II

DOI10.1016/j.jnt.2010.03.010zbMath1204.11161arXiv0902.4190OpenAlexW1994539412MaRDI QIDQ983298

Glyn Harman, Angel V. Kumchev

Publication date: 22 July 2010

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

Full work available at URL: https://arxiv.org/abs/0902.4190

zbMATH Keywords

exponential sumssieve methodssquares of primes

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Goldbach-type theorems; other additive questions involving primes (11P32) Applications of sieve methods (11N36)

Related Items (16)

A Ternary Problem in Additive Prime Number Theory ⋮ ON WARING–GOLDBACH PROBLEM FOR FIFTH POWERS ⋮ The additive problem with one prime and two squares of primes ⋮ On the Cesàro average of the numbers that can be written as sum of a prime and two squares of primes ⋮ Cubes of primes and almost prime ⋮ On sums of squares of primes and a \(k\)-th power of prime ⋮ Diophantine inequality with four squares and one $k$th power of primes ⋮ On the slim exceptional set for the Lagrange four squares theorem ⋮ Sums of one prime power and two squares of primes in short intervals ⋮ Diophantine approximation with one prime and three squares of primes ⋮ Enlarged major arcs in the Waring–Goldbach problem ⋮ Diophantine inequality by unlike powers of primes ⋮ ON SUMS OF FOUR SQUARES OF PRIMES ⋮ Sum of one prime and two squares of primes in short intervals ⋮ On the Waring-Goldbach problem for squares, cubes and higher powers ⋮ Sums of almost equal squares of primes

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