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Discussion of Problem 1560. Elementary Symmetric Functions

S(0)
Posted by UdSU: Abizyaev, Bikov, Urbanovich 4 Oct 2007 16:17
Does S(0) always equal 1?
Re: S(0)
Posted by svr 4 Oct 2007 18:13
S(0) contains one set (I0,...,Ik)of indexes and it is empty. Product over empty set of indexes is 1, because products have multiplicative property with respect to union
of disjoint index sets.