Ternary positive quadratic forms that represent all odd positive integers

• Autorzy: Irving Kaplansky
• Języki publikacji: EN
• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1995
• Tom: 70
• Numer: 3
• Strony: 209-214

Daty

wydano

1995

otrzymano

1994-04-19

poprawiono

1994-09-15

Twórcy

autor

Irving Kaplansky

• Mathematical Sciences Research Institute, 1000 Centennial Drive, Berkeley, California 94720-5070, U.S.A.

Bibliografia

• [1] H. Brandt und O. Intrau, Tabelle reduzierten positiver ternärer quadratischer Formen, Abh. Sächs. Akad. Wiss. Math.-Nat. Kl. 45 (1958), no. 4, MR 21, 11493.
• [2] L. E. Dickson, History of the Theory of Numbers, Vol. II, Chelsea reprint, 1952.
• [3] P. R. Halmos, Note on almost-universal forms, Bull. Amer. Math. Soc. 44 (1938), 141-144.
• [4] J. S. Hsia, Regular positive ternary quadratic forms, Mathematika 28 (1981), 231-238.
• [5] G. Pall, An almost universal form, Bull. Amer. Math. Soc. 46 (1940), 291.
• [6] S. Ramanujan, On the expression of a number in the form ax²+by²+cz²+du², Proc. Cambridge Philos. Soc. 19 (1917), 11-21; Collected Works, 169-178.
• [7] M. F. Willerding, Determination of all classes of positive quaternary quadratic forms which represent all positive integers, Bull. Amer. Math. Soc. 54 (1948), 334-337.