## Tsukuba Journal of Mathematics

### A second limit formula for higher rank twisted Epstein zeta functions and some applications

Keiju Sono

#### Abstract

In this paper, we give the second limit formula and an analogue of the Chowla-Selberg formula for the twisted Epstein zeta functions of rank n > 2. As an application, we compute the determinant of the Euclidean Laplacian on the space of asymmetrically automorphic functions on Rn by using our second limit formula.

#### Article information

Source
Tsukuba J. Math., Volume 35, Number 2 (2011), 231-251.

Dates
First available in Project Euclid: 13 March 2012

https://projecteuclid.org/euclid.tkbjm/1331658706

Digital Object Identifier
doi:10.21099/tkbjm/1331658706

Mathematical Reviews number (MathSciNet)
MR2918319

Zentralblatt MATH identifier
1252.11037

#### Citation

Sono, Keiju. A second limit formula for higher rank twisted Epstein zeta functions and some applications. Tsukuba J. Math. 35 (2011), no. 2, 231--251. doi:10.21099/tkbjm/1331658706. https://projecteuclid.org/euclid.tkbjm/1331658706