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Lattice invariants from the heat kernel

Juan Cervino and Georg Hein

Number 40
Authors Juan Cervino
Georg Hein
Year 2009

We derive lattice invariants from the heat flux of a lattice. Using spherical theta functions we obtain for integer lattices invariant modular forms. The invariants include the theta function. However, in dimension four we show that our invariants can distinguish two isospectral lattices.

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