Diophantine Approximation by Prime Numbers

DOI10.1112/jlms/s2-25.2.201zbMath0443.10015OpenAlexW2031611543MaRDI QIDQ3885818

Glyn Harman, Roger C. Baker

Publication date: 1982

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-25.2.201

zbMATH Keywords

prime numbersHardy-Littlewood circle methoddiophantine inequalitiestrigonometric sums with primes

Mathematics Subject Classification ID

Goldbach-type theorems; other additive questions involving primes (11P32) Applications of the Hardy-Littlewood method (11P55) Diophantine inequalities (11D75) Diophantine approximation, transcendental number theory (11J99) Exponential sums and character sums (11L99)

Related Items (17)

A note on Diophantine approximation by unlike powers of primes ⋮ Unnamed Item ⋮ A pair correlation hypothesis and the exceptional set in Goldbach's problem ⋮ Unnamed Item ⋮ One Diophantine inequality with unlike powers of prime variables ⋮ Sums of Three or More Primes ⋮ The values of additive forms at prime arguments ⋮ Diophantine approximation by cubes of primes and an almost prime ⋮ Diophantine approximation with mixed powers of primes ⋮ On Diophantine approximation by unlike powers of primes ⋮ Diophantine approximation with one prime, two squares of primes and one \(k\)th power of a prime ⋮ On certain exponential sums over primes ⋮ A Diophantine inequality with four squares and one $k$th power of primes ⋮ DIOPHANTINE APPROXIMATION BY PRIMES ⋮ Trigonometric sums over primes II ⋮ On Diophantine approximation with one prime and three squares of primes ⋮ Diophantine inequalities for polynomial rings

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