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Article overview
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On the number of Singular Vector Tuples of Hyper-Cubical Tensors | Shalosh B. Ekhad
; Doron Zeilberger
; | Date: |
1 May 2016 | Abstract: | Shmuel Friedland and Giorgio Ottaviani’s beautiful constant term expression
for the number of singular vector tuples of generic tensors is used to derive a
rational generating function for these numbers, that in turn, is used to obtain
an asymptotic formula for the number of such tuples for n by n by n
three-dimensional tensors, and to conjecture an asymptotic formula for the
general d-dimensional case. A donation of 100 dollars, in honor of the first
prover, will be made to the On-line Encyclopedia of Integer Sequences. | Source: | arXiv, 1605.0172 | Services: | Forum | Review | PDF | Favorites |
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