Represented value sets for integral binary quadratic forms and lattices |
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| Authors: | A G Earnest Robert W Fitzgerald |
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| Institution: | Department of Mathematics, Southern Illinois University, Carbondale, Illinois 62901 ; Department of Mathematics, Southern Illinois University, Carbondale, Illinois 62901 |
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| Abstract: | A characterization is given for the integral binary quadratic forms for which the set of represented values is closed under products. It is also proved that for an integral binary quadratic lattice over a Dedekind domain, the product of three values represented by the form is again a value represented by the form. This generalizes the trigroup property observed by V. Arnold in the case of integral binary quadratic forms. |
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