Universal Quadratic Forms, Small Norms, and Traces in Families of Number Fields

DOI10.1093/imrn/rnac073arXiv2005.12312OpenAlexW4226269726MaRDI QIDQ6115155

Magdaléna Tinková, Vítězslav Kala

Publication date: 12 July 2023

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.12312

zbMATH Keywords

codifferentuniversal quadratic formsShanks' family

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Other number fields (11R21) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Quadratic forms over global rings and fields (11E12)

Related Items (4)

On the Pythagoras number of the simplest cubic fields ⋮ On Kitaoka's conjecture and lifting problem for universal quadratic forms ⋮ Lifting problem for universal quadratic forms over totally real cubic number fields ⋮ Trace and norm of indecomposable integers in cubic orders

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