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- Pfister's_sixteen-square_identity abstract "In algebra, Pfister's sixteen-square identity is a non-bilinear identity of formIt was first proven to exist by H. Zassenhaus and W. Eichhorn in the 1960s, and independently by Pfister around the same time. There are several versions, a concise one of which iswhere the are,and,The also obey,Thus the identity shows that, in general, the product of two sums of sixteen squares is the sum of sixteen rational squares. If all with are set equal to zero, then it reduces to the Degen's eight-square.No sixteen-square identity exists involving only bilinear functions since Hurwitz's theorem states an identity of the formwith the bilinear functions of the and is possible only for n ∈ {1, 2, 4, 8} . However, the more general Pfister's theorem (1965) shows that if the are just rational functions of one set of variables, hence has a denominator, then it is possible for all . There are also non-bilinear versions of Euler's four-square and Degen's eight-square identities.".
- Pfister's_sixteen-square_identity wikiPageExternalLink 0021c.
- Pfister's_sixteen-square_identity wikiPageID "40216580".
- Pfister's_sixteen-square_identity wikiPageRevisionID "595134837".
- Pfister's_sixteen-square_identity subject Category:Analytic_number_theory.
- Pfister's_sixteen-square_identity subject Category:Mathematical_identities.
- Pfister's_sixteen-square_identity comment "In algebra, Pfister's sixteen-square identity is a non-bilinear identity of formIt was first proven to exist by H. Zassenhaus and W. Eichhorn in the 1960s, and independently by Pfister around the same time. There are several versions, a concise one of which iswhere the are,and,The also obey,Thus the identity shows that, in general, the product of two sums of sixteen squares is the sum of sixteen rational squares.".
- Pfister's_sixteen-square_identity label "Pfister's sixteen-square identity".
- Pfister's_sixteen-square_identity label "Zestien-kwadratenidentiteit van Pfister".
- Pfister's_sixteen-square_identity sameAs Zestien-kwadratenidentiteit_van_Pfister.
- Pfister's_sixteen-square_identity sameAs m.0wy39n_.
- Pfister's_sixteen-square_identity sameAs Q14916038.
- Pfister's_sixteen-square_identity sameAs Q14916038.
- Pfister's_sixteen-square_identity wasDerivedFrom Pfister's_sixteen-square_identity?oldid=595134837.
- Pfister's_sixteen-square_identity isPrimaryTopicOf Pfister's_sixteen-square_identity.