Spectral Decomposition Formulas for Zeta-Functions of Imaginary Quadratic Fields of Class Number One

We express the square of the absolute value of the Dedekind-zeta functions of imaginary quadratic fields of class number one on the critical line in terms of averaged values associated to the automorphic Laplacian with respect to the full modular group.

Keywords

imaginary quadratic field, Dedekind zeta-function, spectral theory of automorphic functions

Received

05.10.2018

Publication date

14.10.2018

Number of characters

231

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GOST	Bykovskii V. Spectral Decomposition Formulas for Zeta-Functions of Imaginary Quadratic Fields of Class Number One // Doklady Akademii nauk – 2018. – V. 481. – Issue 2 C. 127-130 [Electronic resource]. URL: http://ras.jes.su/dan/s207987840000199-7-2-en (circulation date: 09.05.2024). DOI: 10.31857/S086956520001187-8
MLA	Bykovskii, V. "Spectral Decomposition Formulas for Zeta-Functions of Imaginary Quadratic Fields of Class Number One." Doklady Akademii nauk 481.2 (2018):127-130. DOI: 10.31857/S086956520001187-8
APA	Bykovskii V. (2018). Spectral Decomposition Formulas for Zeta-Functions of Imaginary Quadratic Fields of Class Number One. Doklady Akademii nauk 481(2), pp.127-130 DOI: 10.31857/S086956520001187-8

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