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

• Autorzy: Schinzel A.

Identyfikatory

DOI

10.4064/ba61-1-3

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

positive definite binary quadratic form; sums of squares of linear forms

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2013
• Tom: Vol. 61, no 1
• Strony: 23--26
• Opis fizyczny: Bibliogr. 3 poz.

Twórcy

autor

Schinzel A.

• Institute of Mathematics Polish Academy of Sciences Śniadeckich 8 00-956 Warszawa, Poland

Bibliografia

• [1] L. E. Dickson, Modern Elementary Theory of Numbers, Univ. of Chicago Press, 1939.
• [2] E. Landau, Über die Zerlegung definiter Funktionen in Quadrate, Arch. Math. Physik (3) 7 (1904), 271{277; reprinted in Collected Works, Vol. 2, Thales-Verlag, 1986, 109{115.
• [3] L. J. Mordell, A new Waring's problem with squares of linear forms, Quart. J. Math. 1 (1930), 276{288.