The Prime Geodesic Theorem for $\mathrm{PSL}_{2}(\mathbb{Z}[i])$ and Spectral Exponential Sums

Ikuya Kaneko

Type: Preprint

Publication Date: 2019-01-01

Citations: 0

DOI: https://doi.org/10.48550/arxiv.1903.05111

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Works Cited by This (60)

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+ PDF Chat	The Selberg trace formula for the Picard group SL(2, Z[i])	1983	Janusz Szmidt
+	Eigenvalues of the Laplacian for Bianchi Groups	1999	Gunther Steil
+	On Linnik and Selberg’s Conjecture About Sums of Kloosterman Sums	2009	Peter Sarnak Jacob Tsimerman
+ PDF Chat	Bounds for $\rGL(3) \times \rGL(2)$ $\rL$-functions and $\rGL(3)$ $\rL$-functions	2011	Xiaoqing Li
+	Spectral Theory of Automorphic Functions and Its Applications	1990	Alexei B. Venkov
+	Fourier coefficients of cusp forms and the Riemann zeta-function	1980	Henryk Iwaniec
+ PDF Chat	A zeta function connected with the eigenvalues of the Laplace-Beltrami operator on the fundamental domain of the modular group	1984	Akio Fujii
+	Groups Acting on Hyperbolic Space: Harmonic Analysis and Number Theory	1997	Jürgen Elstrodt Fritz Grunewald J. L. Mennicke
+	Spectral theory of automorphic functions	1982	Alexei B. Venkov
+	Spectral large sieve inequalities for Hecke congruence subgroups of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>S</mml:mi><mml:mi>L</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">Z</mml:mi><mml:mo stretchy="false">[</mml:mo><mml:mi>i</mml:mi><mml:mo stretchy="false">]</mml:mo><mml:mo stretchy="false">)</mml:mo></mml:math>	2014	Nigel Watt