Diophantine Approximation by Prime Numbers

DOI10.1112/JLMS/S2-44.2.218zbMath0754.11010OpenAlexW4235536367MaRDI QIDQ5966667

Glyn Harman

Publication date: 27 September 1992

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

Full work available at URL: https://doi.org/10.1112/jlms/s2-44.2.218

zbMATH Keywords

averages of exponential sums over primesDiophantine approximation involving primes

Mathematics Subject Classification ID

Diophantine inequalities (11D75) Diophantine inequalities (11J25) Trigonometric and exponential sums (general theory) (11L03) Sums over primes (11L20)

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The asymptotic value of the circle-packing rigidity constants \(s_ n\) ⋮ A note on Diophantine approximation by unlike powers of primes ⋮ Values of binary linear forms at prime arguments ⋮ A Diophantine approximation problem with two primes and one \(k\)-th power of a prime ⋮ One Diophantine inequality with unlike powers of prime variables ⋮ A remark on the values of binary linear forms at prime arguments ⋮ Diophantine approximation with one prime and three squares of primes ⋮ The values of additive forms at prime arguments ⋮ 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 ⋮ Diophantine approximation with two primes and powers of two ⋮ Diophantine approximation with one prime, two squares of primes and powers of two ⋮ 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 ⋮ Diophantine inequalities for polynomial rings

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