# Ternary positive quadratic forms that represent all odd positive integers

Acta Arithmetica (1995)

- Volume: 70, Issue: 3, page 209-214
- ISSN: 0065-1036

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topIrving Kaplansky. "Ternary positive quadratic forms that represent all odd positive integers." Acta Arithmetica 70.3 (1995): 209-214. <http://eudml.org/doc/206749>.

@article{IrvingKaplansky1995,

author = {Irving Kaplansky},

journal = {Acta Arithmetica},

keywords = {representation of odd positive integers; ternary quadratic forms},

language = {eng},

number = {3},

pages = {209-214},

title = {Ternary positive quadratic forms that represent all odd positive integers},

url = {http://eudml.org/doc/206749},

volume = {70},

year = {1995},

}

TY - JOUR

AU - Irving Kaplansky

TI - Ternary positive quadratic forms that represent all odd positive integers

JO - Acta Arithmetica

PY - 1995

VL - 70

IS - 3

SP - 209

EP - 214

LA - eng

KW - representation of odd positive integers; ternary quadratic forms

UR - http://eudml.org/doc/206749

ER -

## References

top- [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. Zbl0082.03803
- [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. Zbl0018.10702
- [4] J. S. Hsia, Regular positive ternary quadratic forms, Mathematika 28 (1981), 231-238. Zbl0469.10009
- [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. Zbl46.0240.01
- [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. Zbl0032.26603

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