On the simultaneous distribution of the fractional parts of different powers of prime numbers

DOI10.1006/JNTH.2000.2563zbMath1001.11029OpenAlexW2051962894MaRDI QIDQ5929399

Zhai, Wenguang

Publication date: 20 October 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.2000.2563

zbMATH Keywords

primesfractional powersestimates for exponential sums over primesfractional partssimultaneous distribution

Mathematics Subject Classification ID

Small fractional parts of polynomials and generalizations (11J54) Sums over primes (11L20)

Related Items (2)

On a Diophantine equation with prime variables ⋮ On the simultaneous distribution of powers of prime numbers modulo one

Cites Work

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• The Pjateckii-Sapiro prime number theorem
• On the fractional part of \(p^\alpha\)
• On the distribution of \(p^{\theta}\,mod\,1\)
• On a problem of I. M. Vinogradov
• The connection between the zeros of the \(\zeta\)-function and sequences \((g(p))\), \(p\) prime, mod 1
• Exponential sums with monomials
• An elementary method in prime number theory
• On the distribution of √ p modulo one

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