A Positive Definite Binary Quadratic Form as a Sum of Five Squares of Linear Forms (Completion of Mordell's Proof)

A. Schinzel

Bulletin of the Polish Academy of Sciences. Mathematics (2013)

  • Volume: 61, Issue: 1, page 23-26
  • ISSN: 0239-7269

Abstract

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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.

How to cite

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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 61.1 (2013): 23-26. <http://eudml.org/doc/281208>.

@article{A2013,
abstract = {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.},
author = {A. Schinzel},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
language = {eng},
number = {1},
pages = {23-26},
title = {A Positive Definite Binary Quadratic Form as a Sum of Five Squares of Linear Forms (Completion of Mordell's Proof)},
url = {http://eudml.org/doc/281208},
volume = {61},
year = {2013},
}

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
VL - 61
IS - 1
SP - 23
EP - 26
AB - 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.
LA - eng
UR - http://eudml.org/doc/281208
ER -

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