Juan Marcos Cerviño

most citedLattice invariants from the heat kernel (II)

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

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 $Λ$ of rank $n$ and a finite sequence $m_{1} \leq m_{2} \leq ... \leq m_{k}$ of natural numbers we construct a modular form $Θ_{m_{1}, m_{2}, ..., m_{k}, Λ}$ 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…