Sums of squares in real quadratic fields and Hilbert modular groups
Entity
UAM. Departamento de MatemáticasPublisher
WileyDate
2020-02-01Citation
10.1112/blms.12323
Bulletin of the London Mathematical Society 52.1 (2020): 244-259
ISSN
0024-6093 (print); 1469-2120 (online)DOI
10.1112/blms.12323Funded by
The first named author is partially supported by the MTM2017-83496-P grant of the MICINN (Spain) and by “Severo Ochoa Programme for Centres of Excellence in R&D” (SEV-2015-0554)Project
Gobierno de España. MTM2017-83496-P; Gobierno de España. SEV-2015-0554Editor's Version
https://doi.org/10.1112/blms.12323Subjects
11F41; 11F72 (primary); 11N45 (secondary); MatemáticasRights
© 2020 London Mathematical SocietyAbstract
We use the spectral theory of Hilbert–Maass forms for real quadratic fields to obtain the asymptotics of some sums involving the number of representations as a sum of two squares in the ring of integers
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Google Scholar:Chamizo Lorente, Fernando
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Miatello, Roberto J.
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