The Prime Geodesic Theorem and Bounds for Character Sums

We establish the prime geodesic theorem for the modular surface with exponent $\frac{2}{3}+\varepsilon$, improving upon the long-standing exponent $\frac{25}{36}+\varepsilon$ of Soundararajan-Young (2013). This was previously known conditionally on the generalised Lindel\"{o}f hypothesis for qu...

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1. Verfasser:	Kaneko, Ikuya
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Number Theory
Online-Zugang:	Volltext bestellen
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