Universality of a non-classical integral quadratic form over Q ( \sqrt 5 )
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Publication:5504530
DOI10.4064/aa136-3-3zbMath1234.11040OpenAlexW1999173725MaRDI QIDQ5504530
Publication date: 22 January 2009
Published in: Acta Arithmetica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/aa136-3-3
Sums of squares and representations by other particular quadratic forms (11E25) Lattices and convex bodies (number-theoretic aspects) (11H06) Quadratic forms over global rings and fields (11E12) Multiplicative and norm form equations (11D57) Orders in separable algebras (16H10)
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UNIVERSAL QUADRATIC FORMS AND ELEMENTS OF SMALL NORM IN REAL QUADRATIC FIELDS ⋮ SOME NON-CLASSICAL UNIVERSAL QUADRATIC FORMS OF SMALL SIZE ⋮ Lifting problem for universal quadratic forms over totally real cubic number fields ⋮ Lifting problem for universal quadratic forms ⋮ Universal quadratic forms over multiquadratic fields ⋮ There are no universal ternary quadratic forms over biquadratic fields ⋮ On indefinite and potentially universal quadratic forms over number fields ⋮ Number fields without universal quadratic forms of small rank exist in most degrees
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