## 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

### Keywords:

Gaussian binomials; sublattices
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