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2-universal positive definite integral quinary quadratic forms. (English) Zbl 0955.11011

Kim, Myung-Hwan (ed.) et al., Integral quadratic forms and lattices. Proceedings of the international conference on integral quadratic forms and lattices, Seoul National University, Seoul, Korea, June 15-19, 1998. Dedicated to the memory of Dennis Ray Estes. Providence, RI: American Mathematical Society. Contemp. Math. 249, 51-62 (1999).
The main result is the determination of all positive definite integral quinary quadratic forms that represent all positive definite integral binary quadratic forms: There are 11 classes of such forms.
For the entire collection see [Zbl 0931.00029].

MSC:

11E20 General ternary and quaternary quadratic forms; forms of more than two variables
11E25 Sums of squares and representations by other particular quadratic forms
11E41 Class numbers of quadratic and Hermitian forms
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