Characterizing experimental designs by properties of the standard quadratic forms of observations

Czesław Stępniak

Displaying similar documents to “Characterizing experimental designs by properties of the standard quadratic forms of observations”

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.

On the Definition of a Quadratic Form

Svetozar Kurepa (1987)

Publications de l'Institut Mathématique

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Class numbers of positive definite quaternary quadratic forms.

Arnold K. Pizer (1976)

Journal für die reine und angewandte Mathematik

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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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Some new results on composition of quadratic forms.

Kee Yuen Lam (1985)

Inventiones mathematicae

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On quadratic forms of height 3 and degree $\leq 2$ . (Sur les formes quadratiques de hauteur 3 et de degré au plus 2.)

Laghribi, Ahmed (1999)

Documenta Mathematica

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Motivic equivalence of quadratic forms.

Izhboldin, Oleg T. (1998)

Documenta Mathematica

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Quadratic quaternion forms, involutions and triality.

Knus, Max-Albert, Villa, Oliver (2001)

Documenta Mathematica

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Regular positive ternary quadratic forms

Byeong-Kweon Oh (2011)

Acta Arithmetica

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On Bailey pairs and certain q-series related to quadratic and ternary quadratic forms

Alexander E. Patkowski (2011)

Colloquium Mathematicae

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We provide a new approach to establishing certain q-series identities that were proved by Andrews, and show how to prove further identities using conjugate Bailey pairs. Some relations between some q-series and ternary quadratic forms are established.