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,Gian-Carlo

Report Date : 28 JAN 1969

Pagination or Media Count : 17

Abstract : The number G sub n of subspaces of an n-dimensional 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 q-analog 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