Euler products of Selberg zeta functions in the critical strip

Ikuya Kaneko, Shin-ya Koyama

Type: Article

Publication Date: 2022-02-17

Citations: 8

DOI: https://doi.org/10.1007/s11139-022-00550-y

View Publication

Download PDF

Locations

The Ramanujan Journal - View
arXiv (Cornell University) - View - PDF
CaltechAUTHORS (California Institute of Technology) - View - PDF

Similar Works

Action	Title	Year	Authors
+	Euler products of Selberg zeta functions in the critical strip	2018	Ikuya Kaneko Shin-ya Koyama
+ PDF Chat	Spectral exponential sums on hyperbolic surfaces	2022	Ikuya Kaneko
+ PDF Chat	The prime geodesic theorem for PSL2(ℤ[i]) and spectral exponential sums	2022	Ikuya Kaneko
+ PDF Chat	Determinant expression of Selberg zeta functions. I	1991	Shin-ya Koyama
+ PDF Chat	On arithmetic infinite graphs	2000	Hirofumi Nagoshi
+	The Prime Geodesic Theorem for $\mathrm{PSL}_{2}(\mathbb{Z}[i])$ and Spectral Exponential Sums	2019	Ikuya Kaneko
+ PDF Chat	Euler Products at the Centre and Applications to Chebyshev's Bias	2024	Arshay Sheth
+	Second moment of the prime geodesic theorem for $PSL_{2}(\mathbb{Z}[i])$ and bounds on a spectral exponential sum	2019	Ikuya Kaneko
+ PDF Chat	Euler products beyond the boundary for Selberg zeta functions	2014	Shin-ya Koyama Fumika Suzuki
+	Spectral Exponential Sums on Hyperbolic Surfaces	2019	Ikuya Kaneko
+	Estimates for Rankin–Selberg L-Functions and Quantum Unique Ergodicity	2001	Peter Sarnak
+ PDF Chat	Determinant Expression of Selberg Zeta Functions. I	1991	Shin-ya Koyama
+	Selberg zeta function	2010	Audrey Terras
+ PDF Chat	Zeta Functions for the Adjoint Action of GL(n) and Density of Residues of Dedekind Zeta Functions	2016	Jasmin Matz
+	Double square moments and subconvexity bounds for Rankin-Selberg L-functions of holomorphic cusp forms	2020	Jianya Liu Haiwei Sun Yangbo Ye
+ PDF Chat	Elliptic factors of Selberg zeta functions	1997	Masao Tsuzuki
+	Strong Szeg\H{o} theorem on a Jordan curve.	2021	Kurt Johansson
+	Applications of zero-free regions on averages and shifted convolution sums of Hecke eigenvalues	2021	Jiseong Kim
+	Arithmetic and analytical aspects of Siegel modular forms	2020	Fabian Waibel
+	Arithmetic and analytical aspects of Siegel modular forms	2020	Fabian Waibel

Works That Cite This (8)

Action	Title	Year	Authors
+	Euler Product Asymptotics for Dirichlet $L$-Functions	2019	Ikuya Kaneko
+ PDF Chat	Chebyshev's bias against splitting and principal primes in global fields	2022	Miho Aoki Shin-ya Koyama
+ PDF Chat	Spectral exponential sums on hyperbolic surfaces	2022	Ikuya Kaneko
+	The second moment for counting prime geodesics	2019	Ikuya Kaneko
+ PDF Chat	The prime geodesic theorem for PSL2(ℤ[i]) and spectral exponential sums	2022	Ikuya Kaneko
+	The Prime Geodesic Theorem in Arithmetic Progressions	2024	Dimitrios Chatzakos Gergely Harcos Ikuya Kaneko
+	The Prime Geodesic Theorem for $\mathrm{PSL}_{2}(\mathbb{Z}[i])$ and Spectral Exponential Sums	2019	Ikuya Kaneko
+	Spectral exponential sums on hyperbolic surfaces I	2019	Ikuya Kaneko

Works Cited by This (39)

Action	Title	Year	Authors
+	None	1997	Jean-Louis Nicolas Guy Robin
+	On Linnik and Selberg’s Conjecture About Sums of Kloosterman Sums	2009	Peter Sarnak Jacob Tsimerman
+	Euler's constants for the Selberg and the Dedekind zeta functions	2004	Yasufumi Hashimoto Yasuyuki Iijima Nobushige Kurokawa Masato Wakayama
+	On certain exponential sums.	1933	H. Davenport
+	A classical approach to a well-known spectral correspondence on quaternion groups	1985	Dennis A. Hejhal
+ PDF Chat	Partial Euler Products on the Critical Line	2005	Keith Conrad
+ PDF Chat	Euler products beyond the boundary for Selberg zeta functions	2014	Shin-ya Koyama Fumika Suzuki
+	On Selberg’s Eigenvalue Conjecture	1995	Wenzhi Luo Zeév Rudnick Peter Sarnak
+	ON ANALOGUES OF THE ARTIN FACTORIZATION FORMULAS IN THE SPECTRAL THEORY OF AUTOMORPHIC FUNCTIONS CONNECTED WITH INDUCED REPRESENTATIONS OF FUCHSIAN GROUPS	1983	Alexei B. Venkov Peter Zograf
+	PETERSSON'S CONJECTURE FOR CUSP FORMS OF WEIGHT ZERO AND LINNIK'S CONJECTURE. SUMS OF KLOOSTERMAN SUMS	1981	N V Kuznecov