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arxiv: 1609.08745 · v3 · pith:U2BRFB3Vnew · submitted 2016-09-28 · 🧮 math.NT

A note on Diophantine approximation with Gaussian primes

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keywords gaussianprimesthetaapproximationcomplexcontaineddiophantinedistribution
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We investigate the distribution of $p\theta$ modulo 1, where $\theta$ is a complex number which is not contained in $\mathbb{Q}(i)$, and $p$ runs over the Gaussian primes.

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