A Positive Definite Binary Quadratic Form
as a Sum of Five Squares of Linear Forms
(Completion of Mordell's Proof)
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 1, pp. 23-26
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
paper completes incomplete proof given mordell following theorem every positive definite classical binary quadratic form sum five squares linear forms integral coefficients
Affiliations des auteurs :
A. Schinzel 1
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author = {A. Schinzel},
title = {A {Positive} {Definite} {Binary} {Quadratic} {Form
} as a {Sum} of {Five} {Squares} of {Linear} {Forms
} {(Completion} of {Mordell's} {Proof)}},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
pages = {23--26},
publisher = {mathdoc},
volume = {61},
number = {1},
year = {2013},
doi = {10.4064/ba61-1-3},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ba61-1-3/}
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A. Schinzel. A Positive Definite Binary Quadratic Form as a Sum of Five Squares of Linear Forms (Completion of Mordell's Proof). Bulletin of the Polish Academy of Sciences. Mathematics, Tome 61 (2013) no. 1, pp. 23-26. doi: 10.4064/ba61-1-3
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