The prime geodesic theorem in square mean

Andr\'as Bir\'o; Antal Balog; Gergely Harcos; P\'eter Maga

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The prime geodesic theorem in square mean

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arxiv 1805.07461 v1 pith:MWHGNHRY submitted 2018-05-18 math.NT

The prime geodesic theorem in square mean

Antal Balog , Andr\'as Bir\'o , Gergely Harcos , P\'eter Maga This is my paper

classification math.NT

keywords geodesicmeanprimeresultsquaretheoremcherubinidevelop

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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.

The prime geodesic theorem in square mean

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