Zou, Yi Ming Gaussian binomials and the number of sublattices. (English) Zbl 1370.11075 Acta Crystallogr., Sect. A 62, No. 5, 409-410 (2006). Summary: The purpose of this short communication is to make some observations on the connections between various existing formulas of counting the number of sublattices of a fixed index in an \(n\)-dimensional lattice and their connection with the Gaussian binomials. Cited in 3 Documents MSC: 11H06 Lattices and convex bodies (number-theoretic aspects) 11B65 Binomial coefficients; factorials; \(q\)-identities Keywords:Gaussian binomials; sublattices PDF BibTeX XML Cite \textit{Y. M. Zou}, Acta Crystallogr., Sect. A 62, No. 5, 409--410 (2006; Zbl 1370.11075) Full Text: DOI arXiv OpenURL Online Encyclopedia of Integer Sequences: Square array T(n,m) read by antidiagonals: number of sublattices of index m in generic n-dimensional lattice.