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Gaussian binomials and the number of sublattices. (English) Zbl 1370.11075

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.

MSC:

11H06 Lattices and convex bodies (number-theoretic aspects)
11B65 Binomial coefficients; factorials; \(q\)-identities
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