The Distribution of αp 2 Modulo 1

DOI10.1112/plms/s3-42.2.252zbMath0447.10035OpenAlexW2046700775MaRDI QIDQ3892310

Amit Ghosh

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1112/plms/s3-42.2.252

zbMATH Keywords

estimate of exponential sum

Mathematics Subject Classification ID

Trigonometric and exponential sums (general theory) (11L03) Distribution modulo one (11J71)

Related Items (19)

Diophantine approximation with four squares and one \(k\)th power of primes ⋮ The quadratic Waring-Goldbach problem ⋮ Small prime solutions of some additive equations ⋮ FRACTIONAL PARTS OF POLYNOMIALS OVER THE PRIMES. II ⋮ On the saturation number for singular cubic surfaces ⋮ A Diophantine problem with a prime and three squares of primes ⋮ Diophantine approximation with one prime and three squares of primes ⋮ Representation of integers as monochromatic sums of squares of primes ⋮ Linear equations in primes ⋮ Trigonometric sums over primes. III ⋮ On sums of squares of primes. II ⋮ The exceptional set in the two prime squares and a prime problem ⋮ Exponential sums involving the Möbius function ⋮ Squares of primes and powers of 2. II ⋮ Oscillations of Fourier coefficients of cusp forms over primes ⋮ On certain exponential sums over primes ⋮ The value of additive forms at prime arguments ⋮ Small solutions of quadratic equations with prime variables in arithmetic progressions ⋮ Representation of even integers as sums of squares of primes and powers of 2

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