Email this article Spectral Decomposition Formulas for Zeta Functions of Imaginary Quadratic Fields of Class Number One
- Authors: Bykovskii V.A.1
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Affiliations:
- Khabarovsk Branch of Institute of Applied Mathematics, Far Eastern Branch
- Issue: Vol 98, No 1 (2018)
- Pages: 317-320
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225522
- DOI: https://doi.org/10.1134/S106456241805006X
- ID: 225522
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Abstract
The squared absolute value of the Dedekind zeta functions of imaginary quadratic fields of class number one on the critical line is expressed in terms of averaged values associated with the spectrum of the automorphic Laplacian with respect to the full modular group.
About the authors
V. A. Bykovskii
Khabarovsk Branch of Institute of Applied Mathematics, Far Eastern Branch
Author for correspondence.
Email: vab@iam.khv.ru
Russian Federation, Khabarovsk, 680000
