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arxiv: 1703.00165 · v1 · pith:4K4RPCHGnew · submitted 2017-03-01 · 🧮 math.NT

PGT on PSL(2,mathbb{Z}). A short proof

classification 🧮 math.NT
keywords proofshortbounderrorexplicitexponentformulafrac
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Taking the Iwaniec explicit formula as a starting point, we give a short proof of a more precise $\frac{2}{3}$ bound for the exponent in the error term of the Gallagher-type prime geodesic theorem for the modular surface.

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