Representations of positive definite senary integral quadratic forms by a sum of squares

DOI10.1006/jnth.1997.2069zbMath0873.11029OpenAlexW1970631359MaRDI QIDQ677628

Myung-Hwan Kim, Byeong-Kweon Oh

Publication date: 13 April 1997

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

Full work available at URL: https://semanticscholar.org/paper/0ec30f1fac38f52f17837c5cea5183653d9cef55

zbMATH Keywords

sum of squarespositive definite integral quadratic form of six variables

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20)

Related Items (10)

Isolations of cubic lattices from their proper sublattices ⋮ Lifting problem for universal quadratic forms ⋮ Binary quadratic forms represented by a sum of nonzero squares ⋮ On a Waring’s problem for integral quadratic and Hermitian forms ⋮ On a quadratic Waring's problem with congruence conditions ⋮ Representations of integral quadratic forms by sums of squares ⋮ Hermite reduction and a Waring’s problem for integral quadratic forms over number fields ⋮ Representations of binary forms by certain quinary positive integral quadratic forms ⋮ Pythagoras numbers of orders in biquadratic fields ⋮ On quadratic Waring’s problem in totally real number fields

Cites Work

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• Additively indecomposable positive integral quadratic forms
• The representation of a definite quadratic form as a sum of two others
• The Integral Representations of Quadratic Forms Over Local Fields
• Low-dimensional lattices V. Integral coordinates for integral lattices

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