Lifting problem for universal quadratic forms
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Publication:2217547
DOI10.1016/j.aim.2020.107497zbMath1462.11028arXiv1808.02262OpenAlexW2886549987WikidataQ111976420 ScholiaQ111976420MaRDI QIDQ2217547
Publication date: 30 December 2020
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.02262
Dedekind zeta functiontrace formadditively indecomposable integertotally real number fielduniversal quadratic formlattice of E-type
Sums of squares and representations by other particular quadratic forms (11E25) Quadratic extensions (11R11) Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms over global rings and fields (11E12) Cyclotomic extensions (11R18) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)
Related Items (9)
On indefinite \(k\)-universal integral quadratic forms over number fields ⋮ On the Pythagoras number of the simplest cubic fields ⋮ Lifting problem for universal quadratic forms over totally real cubic number fields ⋮ Trace and norm of indecomposable integers in cubic orders ⋮ Real quadratic fields admitting universal lattices of rank 7 ⋮ A cubic ring of integers with the smallest Pythagoras number ⋮ Pythagoras numbers of orders in biquadratic fields ⋮ Number fields without universal quadratic forms of small rank exist in most degrees ⋮ On quadratic Waring’s problem in totally real number fields
Uses Software
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