On a conjecture of R.F. Scott (1881) |
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Authors: | Henryk Minc |
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Institution: | Department of Mathematics and Institute for Algebra and Combinatorics University of California Santa Barbara, California 93106 USA |
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Abstract: | A formula is given for the permanent of a general Cauchy matrix ((xi?yj)?1). In a special case, where the xi and the yj are the distinct nth roots of 1 and ?1 respectively, a formula for the permanent, conjectured by R. F. Scott, is proved by computing the eigenvalues of related circulants. |
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