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math.NT2009
The Conway-Sloane tetralattice pairs are non-isometric
Juan Marcos Cervino, Georg Hein
Conway and Sloane constructed a 4-parameter family of pairs of isospectral lattices of rank four. They conjectured that all pairs in their family are non-isometric, whenever the pa…
math.NT2009★ 3 cited
Lattice invariants from the heat kernel (II)
Juan Marcos Cerviño, Georg Hein
Given an integral lattice of rank and a finite sequence of natural numbers we construct a modular form of level $N=…
math.NT2009
Lattice invariants from the heat kernel
Juan Marcos Cerviño, Georg Hein
We derive lattice invariants from the heat flux of a lattice. Using systems of harmonic polynomials, we obtain sums of products of spherical theta functions which give new invarian…