On the distribution of \(p^\alpha\) modulo one

DOI10.5802/jtnb.258zbMath0988.11027OpenAlexW2056856135MaRDI QIDQ1975052

Xiaodong Cao, Zhai, Wenguang

Publication date: 3 April 2000

Published in: Journal de Théorie des Nombres de Bordeaux (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=JTNB_1999__11_2_407_0

zbMATH Keywords

upper bounddiscrepancysums over primesdouble large sieve inequality

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Applications of sieve methods (11N36) Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06)

Related Items (2)

Fractional parts of noninteger powers of primes ⋮ Some applications of the double large sieve

Cites Work

• 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
• Exponential sums with monomials
• On the number of abelian groups of a given order (supplement)
• On the Uniform Distribution of Some Sequences
• On the distribution of √ p modulo one
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