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arXiv · 1812.10725

Sums of squares in real quadratic fields and Hilbert modular groups

Fernando Chamizo·Roberto J. Miatello
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Abstract

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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Fernando Chamizo, Roberto J. Miatello. 2018-12-27. Sums of squares in real quadratic fields and Hilbert modular groups. https://doi.org/10.1112/blms.12323

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