Abstract
We present a new approach for the proof of some formulas of Takuro Shintani concerning the Kronecker limit formulas for real quadratic fields.
Citation
Mounir Hajli. "A new proof of some of Shintani’s formulas." Kyoto J. Math. 63 (3) 501 - 516, August 2023. https://doi.org/10.1215/21562261-10607326
Information
Received: 10 April 2020; Revised: 22 September 2020; Accepted: 9 September 2021; Published: August 2023
First available in Project Euclid: 7 May 2023
MathSciNet: MR4622479
zbMATH: 07713913
Digital Object Identifier: 10.1215/21562261-10607326
Subjects:
Primary:
11S80
Secondary:
11M35
,
11M41
,
33E30
Keywords:
meromorphic continuation
,
Shintani zeta function
,
Theta functions
Rights: Copyright © 2023 by Kyoto University
