$PGT$ on $PSL(2,\mathbb{Z})$. A short proof
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2017
- DOI:
- arXiv:
- arXiv:1703.00165
- Bibcode:
- 2017arXiv170300165A
- Keywords:
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- Mathematics - Number Theory;
- 11M36;
- 11F72
- E-Print:
- Functiones et Approximatio. Commentarii Mathematici 58 (2018), No. 2, 207-213