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arXiv · 1105.1453

Sifted character sums and free quotients of Bianchi groups

Jan-Christoph Schlage-Puchta
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Abstract

We show that the Bianchi group $\mathrm{PSL}_2(\mathcal{O}_d)$, where $\mathcal{O}_d$ is the ring of integers in $\Q(\sqrt{d})$, $d<0$, has a free quotient of rank $\geq |d|^{1/4-ε}$, as $|d|\to\infty$.

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Jan-Christoph Schlage-Puchta. 2011-05-07. Sifted character sums and free quotients of Bianchi groups. https://doi.org/10.1017/s0305004106009261

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