Geodesic
A Positive Definite Binary Quadratic Form as a Sum of Five Squares of Linear Forms (Completion of Mordell's Proof)
A. Schinzel1
1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland
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.
DOI : 10.4064/ba61-1-3
Keywords: paper completes incomplete proof given mordell following theorem every positive definite classical binary quadratic form sum five squares linear forms integral coefficients

A. Schinzel 1

1 Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland 
@article{10_4064_ba61_1_3,
     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/}
}
TY  - JOUR
AU  - A. Schinzel
TI  - A Positive Definite Binary Quadratic Form
 as a Sum of Five Squares of Linear Forms
 (Completion of Mordell's Proof)
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2013
SP  - 23
EP  - 26
VL  - 61
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba61-1-3/
DO  - 10.4064/ba61-1-3
LA  - en
ID  - 10_4064_ba61_1_3
ER  - 
%0 Journal Article
%A A. Schinzel
%T A Positive Definite Binary Quadratic Form
 as a Sum of Five Squares of Linear Forms
 (Completion of Mordell's Proof)
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2013
%P 23-26
%V 61
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ba61-1-3/
%R 10.4064/ba61-1-3
%G en
%F 10_4064_ba61_1_3
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. http://geodesic.mathdoc.fr/articles/10.4064/ba61-1-3/

Cité par Sources :