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On the distribution (mod 1) of polynomials of a prime variable

Published online by Cambridge University Press:  22 January 2016

Ming-Chit Liu
Affiliation:
Department of Mathematics, University of Hong Kong, Hong Kong
Kai-Man Tsang
Affiliation:
Department of Mathematics, University of Hong Kong, Hong Kong
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Throughout, ε is any small positive number, θ any real number, n, nj, k, N some positive integers and p, pj any primes. By ‖θ‖ we mean the distance from θ to the nearest integer. Write C(ε), C(ε, k) for positive constants which may depend on the quantities indicated inside the parentheses.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1982

References

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