On the simultaneous distribution of powers of prime numbers modulo one

DOI10.1007/S10474-017-0746-YzbMath1399.11127OpenAlexW2756082125MaRDI QIDQ681586

Juan-Miguel Gracia

Publication date: 12 February 2018

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-017-0746-y

zbMATH Keywords

simultaneous distributionexponential sumVinogradov method

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Exponential sums (11T23) Distribution of integers with specified multiplicative constraints (11N25) General theory of distribution modulo (1) (11K06) Special sequences (11K31)

Cites Work

• Unnamed Item
• Exponential sums with monomials
• On the \(k\)-dimensional Piatetski-Shapiro prime number theorem
• An elementary method in prime number theory
• On the Uniform Distribution of Some Sequences
• On the simultaneous distribution of the fractional parts of different powers of prime numbers

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