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arXiv · 1805.07461

The prime geodesic theorem in square mean

Antal Balog·András Biró·Gergely Harcos·Péter Maga
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Abstract

We strengthen the recent result of Cherubini and Guerreiro on the square mean of the error term in the prime geodesic theorem for $\mathrm{PSL}_2(\mathbb{Z})$. We also develop a short interval version of this result.

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Antal Balog, András Biró, Gergely Harcos, Péter Maga. 2018-05-18. The prime geodesic theorem in square mean. https://doi.org/10.1016/j.jnt.2018.10.012

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