A CONSTRUCTIVE THEORY OF TRIPLE AND QUINTUPLE PRODUCT IDENTITIES OF THE 2ND DEGREE

Authors
BLECKSMITH R BRILLHART J GERST I
Citation
R. Blecksmith et al., A CONSTRUCTIVE THEORY OF TRIPLE AND QUINTUPLE PRODUCT IDENTITIES OF THE 2ND DEGREE, Mathematics of computation, 67(222), 1998, pp. 797-814
Citations number
4
Categorie Soggetti
Mathematics,Mathematics
Journal title
Mathematics of computation → ACNP
ISSN journal
00255718
Volume
67
Issue
222
Year of publication
1998
Pages
797 - 814
Database
ISI
SICI code
0025-5718(1998)67:222<797:ACTOTA>2.0.ZU;2-5
Abstract
The groundwork for a theory of quadratic identities involving the clas sical triple and quintuple products is layed. The approach is through the study and use of affine maps that act oh indexing lattices associa ted with the terms (double sums) in the given identity. The terms of t he identity are found to be connected by the invariant of a ternary qu adratic form.