Diophantine approximation on lines in \mathbb{C}^2 with Gaussian prime constraints - enhanced version

Stephan Baier

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arXiv · 1706.06453

Diophantine approximation on lines in \mathbb{C}^2 with Gaussian prime constraints - enhanced version

Stephan Baier

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Abstract

We study the problem of Diophantine approximation on lines in $\mathbb{C}^2$ with numerators and denominators restricted to Gaussian primes. To this end, we develop analogs of well-known results on small fractional parts of $p\gamma$, $p$ running over the primes and $\gamma$ being a fixed irrational, for Gaussian primes.

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Stephan Baier. 2017-06-20. Diophantine approximation on lines in \mathbb{C}^2 with Gaussian prime constraints - enhanced version. https://arxiv.org/abs/1706.06453

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