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):

Report Date:

1969-01-28

Pagination or Media Count:

17.0

Abstract:

The number G sub n of subspaces of an n-dimensional vector space over GFq 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

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE