On a Waring’s problem for integral quadratic and Hermitian forms
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Publication:4633597
DOI10.1090/tran/7571zbMath1455.11062arXiv1702.08854OpenAlexW2593351324MaRDI QIDQ4633597
M. I. Icaza, Constantin N. Beli, Jingbo Liu, Wai Kiu Chan
Publication date: 3 May 2019
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1702.08854
Sums of squares and representations by other particular quadratic forms (11E25) Quadratic forms over global rings and fields (11E12) Bilinear and Hermitian forms (11E39)
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Cites Work
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- Representations of positive definite senary integral quadratic forms by a sum of squares
- Klassenzahlen definiter quadratischer Formen
- A hierarchy of polynomial time lattice basis reduction algorithms
- Classification of Hermitian forms with the neighbour method
- Representations of positive definite Hermitian forms with approximation and primitive properties
- Representations of integral quadratic forms by sums of squares
- Sphere packings. (Edited by John Talbot)
- The Euclidean algorithm in algebraic number fields
- Arithmetic of unitary groups
- The representation of a definite quadratic form as a sum of two others
- Sums of squares of integral linear forms
- A Remark on Stirling's Formula
- Low-dimensional lattices V. Integral coordinates for integral lattices
- On the Pythagoras number of orders in totally real number fields.
- Integral Decomposition of Hermitian Forms
- Representations of positive definite quadratic forms.
- Classes of Definite Hermitian Forms
- Hermite Constant and Extreme Forms for Algebraic Number Fields
- Bounds for quadratic Waring's problem
- Sums of squares of integral linear forms
- A Positive Definite Binary Quadratic Form as a Sum of Five Squares of Linear Forms (Completion of Mordell's Proof)
- Integral representations of hermitian forms over local fields.
- Hermitian Forms Over Local Fields
- ON THE REPRESENTATION OF A QUADRATIC FORM AS A SUM OF SQUARES OF LINEAR FORMS
- Sums of squares of linear forms
- Class numbers of positive definite binary and ternary unimodular Hermitian forms