Integral Solution of Hilbert's Seeventeenth Problem.
Gilbert Stengle (1979)
Mathematische Annalen
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Displaying similar documents to “Infinite dimensional extension of A. P. Calderòn's theorem on positive semidefinite biquadratic forms.”
Integral Solution of Hilbert's Seeventeenth Problem.
Note to the Paper "A Positive Definite Binary Quadratic Form as a Sum of Five Squares of Linear Forms (Completion of Mordell's Proof)" (Bull. Polish Acad. Sci. Math. 61 (2013), 23-26)
A. Schinzel (2013)
Bulletin of the Polish Academy of Sciences. Mathematics
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A Positive Definite Binary Quadratic Form as a Sum of Five Squares of Linear Forms (Completion of Mordell's Proof)
A. Schinzel (2013)
Bulletin of the Polish Academy of Sciences. Mathematics
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The paper completes an incomplete proof given by L. J. Mordell in 1930 of the following theorem: every positive definite classical binary quadratic form is the sum of five squares of linear forms with integral coefficients.
Sums of Squares of Linear Forms.
R. Baeza, D. Leep, M. O'Ryan (1986)
Mathematische Zeitschrift
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Representations of squares by certain quinary quadratic forms
Shaun Cooper, Heung Yeung Lam, Dongxi Ye (2013)
Acta Arithmetica
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A note on the representability of quaternary quadratic forms as sums of squares of two linear forms
Hardy, John (1970)
Portugaliae mathematica
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A note on the representability of binary quadratic forms with Gaussian integer coefficients as sums of squares of two linear forms
John Hardy (1968)
Acta Arithmetica
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On the asypmtotic formula of Kuznetsov and existence of generic cusp forms.
Andrei Reznikov (1993)
Mathematische Zeitschrift
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On the representation of a binary quadratic form as a sum of squares of linear forms
L. J., Mordell (1932)
Mathematische Zeitschrift
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Real Zeros of Positive Semidefinite Forms. I.
Bruce Reznick, M.-D. Choi, T.-Y. Lam (1980)
Mathematische Zeitschrift
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Sums of Squares Coprime in Pairs
Jörg Brüdern (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
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Asymptotic formulae are provided for the number of representations of a natural number as the sum of four and of three squares that are pairwise coprime.
Uniform denominators in Hilbert's Seventeenth Problem.
Bruce Reznick (1995)
Mathematische Zeitschrift
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Some results on magic squares based on generating magic vectors and R-C similar transformations
Xiaoyang Ma, Kai-tai Fang, Yu hui Deng (2017)
Special Matrices
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In this paper we propose a new method, based on R-C similar transformation method, to study classification for the magic squares of order 5. The R-C similar transformation is defined by exchanging two rows and related two columns of a magic square. Many new results for classification of the magic squares of order 5 are obtained by the R-C similar transformation method. Relationships between basic forms and R-C similar magic squares are discussed. We also propose a so called GMV (generating...