Determinants of Laplacians and Multiple Gamma Functions

Ilan Vardi

Type: Article

Publication Date: 1988-03-01

Citations: 147

DOI: https://doi.org/10.1137/0519035

View Publication

Locations

SIAM Journal on Mathematical Analysis - View

Similar Works

Action	Title	Year	Authors
+	MATHEMATICAL CONSTANTS ASSOCIATED WITH THE MULTIPLE GAMMA FUNCTIONS	2005	Myungho Jung Young Joon Cho Junesang Choi
+	On determinants of Laplacians and multiple gamma functions	1991	Junesang Choi
+	NOTE ON THE MULTIPLE GAMMA FUNCTIONS	2002	Bo-Myoung Ok Tae-Young Seo
+	Factorization formulas for higher depth determinants of the Laplacian on the n-sphere	2010	Yoshinori Yamasaki
+	Factorization formulas for higher depth determinants of the Laplacian on the n-sphere	2010	Yoshinori Yamasaki
+ PDF Chat	DETERMINANTS OF THE LAPLACIANS ON THE n-DIMENSIONAL UNIT SPHERE S<sup>n</sup>(n = 8, 9)	2011	Junesang Choi
+	Certain classes of series associated with the Zeta function and multiple gamma functions	2000	Junesang Choi H. M. Srivastava
+ PDF Chat	Determinants of the Laplacians on the n-dimensional unit sphere S n	2013	Junesang Choi
+ PDF Chat	The Multiple Hurwitz Zeta Function and the Multiple Hurwitz-Euler Eta Function	2011	Junesang Choi H. M. Srivástava
+	Gamma and sine functions for Lie groups and period integrals	2005	Nobushige Kurokawa Masato Wakayama
+	Integrals associated with the multiple gamma function	2014	Victor Adamchik
+ PDF Chat	The determinant of the Laplacian on the n-sphere	1999	Hiroshi Kumagai
+ PDF Chat	Generalized Laplacians and Multiple Trigonometric Series	1973	M. J. Kohn
+	Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes	2018	Federico Zerbini
+	Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes	2018	Federico Zerbini
+	Multiple sine, multiple elliptic gamma functions and rational cones	2015	Luigi Tizzano Jacob Winding
+	Multiple trigonometry and zeta functions	2002	信重黒川 Nobushige Kurokawa
+	Generalized Legendre series and the fundamental solution of the Laplacian on the n-sphere	2005	José L. Martínez-Morales
+	Holomorphic factorization of determinants of laplacians on Riemann surfaces and a higher genus generalization of Kronecker's first limit formula	2004	Andrew McIntyre Leon A. Takhtajan
+	Holomorphic factorization of determinants of laplacians on Riemann surfaces and a higher genus generalization of Kronecker's first limit formula	2004	Andrew McIntyre Leon A. Takhtajan

Works That Cite This (141)

Action	Title	Year	Authors
+	The multiple gamma function and its q-analogue	1996	Kimio Ueno Michitomo Nishizawa
+	Explicit descriptions of spectral properties of Laplacians on spheres $${\mathbb {S}}^{N}\,(N\ge 1)$$: a review	2020	Richard Olu Awonusika
+	Extremals of determinants of Laplacians	1988	Brad Osgood Ralph S. Phillips Peter Sarnak
+ PDF Chat	The Multiple Gamma Function and Its Application to Computation of Series	2005	Victor Adamchik
+ PDF Chat	Determinants of Laplacians on surfaces of finite volume	1988	Isaac Efrat
+ PDF Chat	Error bounds and exponential improvement for the asymptotic expansion of the Barnes <i>G</i> -function	2014	Gergő Nemes
+	On the coefficients of the Baez-Duarte criterion for the Riemann hypothesis and their extensions	2006	Mark W. Coffey
+ PDF Chat	Asymptotic expansions for certain mathematical constants and special functions	2018	Chao-Ping Chen
+ PDF Chat	Special values of multiple gamma functions	2006	William Duke Özlem Imamoğlu
+	A note on sums of products of Bernoulli numbers	2010	Min-Soo Kim

Works Cited by This (4)

Action	Title	Year	Authors
+	Ueber eine mit der Gammafunction verwandte Transcendente und deren Anwendung auf die Integralrechnung.	1860	H. Kinkelin
+ PDF Chat	On the positivity of the effective action in a theory of random surfaces	1982	E. Onofri
+	Extremals of determinants of Laplacians	1988	Brad Osgood Ralph S. Phillips Peter Sarnak
+	Harmonic Analysis on Symmetric Spaces and Applications I	1985	Audrey Terras