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We give an explicit description of the spectrum of the Hodge--Laplaceoperator on $p$-forms of an arbitrary lens space for any $p$. We write the twogenerating functions encoding the $p$-spectrum as rational functions. As aconsequence, we prove a geometric characterization of lens spaces that are$p$-isospectral for every $p$ in an interval of the form $[0,p_0]$.

The spectrum on $p$-forms of a lens space