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A Constructive theory of triple and quintuple product identities of the second degree |
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| Authors: | Richard Blecksmith John Brillhart Irving Gerst |
| Institution: | Department of Mathematics, Northern Illinois University, DeKalb, Illinois 60115 ; Department of Mathematics, University of Arizona, Tucson, Arizona 85721 ; Department of Applied Mathematics and Statistics, SUNY at Stony Brook, Stony Brook, New York 11794 |
| Abstract: | The groundwork for a theory of quadratic identities involving the classical triple and quintuple products is layed. The approach is through the study and use of affine maps that act on indexing lattices associated with the terms (double sums) in the given identity. The terms of the identity are found to be connected by the invariant of a ternary quadratic form. |
| Keywords: | Quadratic identities triple product quintuple product invariant |
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