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math.AC2012★ 2 cited
Minkowski's inequality and sums of squares
Péter E. Frenkel, Péter Horváth
Positive polynomials arising from Muirhead's inequality, from classical power mean and elementary symmetric mean inequalities and from Minkowski's inequality can be rewritten as su…
math.AC2009
Remarks on the --permanent
Péter E. Frenkel
We recall Vere-Jones's definition of the --permanent and describe the connection between the (1/2)--permanent and the hafnian. We establish expansion formulae for the --perma…
math.AC2003★ 20 cited
Simple proof of Chebotarev's theorem on roots of unity
P. E. Frenkel
We give a simple proof of Chebotarev's theorem: Let be a prime and a primitive th root of unity. Then all minors of the matrix are non-zero.