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arXiv:1704.05898 [math.NT]AbstractReferencesReviewsResources

Fractional parts of polynomials over the primes. II

Roger Baker

Published 2017-04-19Version 1

We consider the distance to the nearest integer of f(p), where f is a quadratic polynomial with irrational leading coefficient. This distance is very small as a function of p, for infinitely many primes p. We give a 14% improvement in the exponent that measures the distance, compared with the most recent result in the literature.

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