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The prime geodesic theorem in square mean
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math.NT
keywords
geodesicmeanprimeresultsquaretheoremcherubinidevelop
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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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