
Accession Number : AD0683687
Title : THE NUMBER OF SUBSPACES OF A VECTOR SPACE.
Descriptive Note : Technical rept.,
Corporate Author : HARVARD UNIV CAMBRIDGE MASS DEPT OF STATISTICS
Personal Author(s) : Goldman,Jay ; Rota,GianCarlo
Report Date : 28 JAN 1969
Pagination or Media Count : 17
Abstract : The number G sub n of subspaces of an ndimensional vector space over GF(q) is studied by the symbolic calculus. This calculus provides a general technique for proving theorems in particular identities, involving the G sub n and the Gaussian coefficient (n, k). Examples include a recursion for the G sub n, an infinite product expansion for the Eulerian generating function of the G sub n, and a qanalog of the Pascal triangle for the (n, k). (Author)
Descriptors : (*VECTOR SPACES, COMBINATORIAL ANALYSIS), NUMBER THEORY, IDENTITIES, SERIES(MATHEMATICS), CONVERGENCE
Subject Categories : Theoretical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE