The sum of four squares over real quadratic number fields

DOI10.1142/s1793042124500039arXiv1610.06935MaRDI QIDQ6186043

No author found.

Publication date: 9 January 2024

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.06935

zbMATH Keywords

quadratic formsmodular formstheta series

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Analytic theory (Epstein zeta functions; relations with automorphic forms and functions) (11E45) Quadratic forms over global rings and fields (11E12)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Sums of distinct integral squares in real quadratic fields
• Sums of distinct integral squares in \(\mathbb Q(\sqrt 5)\)
• An explicit formula for local densities of quadratic forms
• The Magma algebra system. I: The user language
• Local densities and explicit bounds for representability by a quadratic form
• Über die Darstellung total positiver Zahlen des Körpers \(R(\sqrt 5)\) als Summe von drei Quadraten. (On the representation od totally positive numbers of the field \(R(\sqrt 5)\) as a sum of three squares)
• Sums of \(m\)th powers of algebraic integers
• UNIVERSAL QUADRATIC FORMS AND ELEMENTS OF SMALL NORM IN REAL QUADRATIC FIELDS
• Decomposition Into Four Integral Squares in the Fields of 2 ½ and 3½
• Quadratsummen in reell‐quadratischen Zahlkörpern
• Explicit Computations of Hilbert Modular Forms on ℚ(√5)
• Explicit Methods for Hilbert Modular Forms
• Number fields without n-ary universal quadratic forms
• Lectures on P-Adic L-Functions. (AM-74)

This page was built for publication: The sum of four squares over real quadratic number fields