7 citations · 16 across the 22 of their papers we have counts for
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Quadratic forms and their theta series - infinitesimal aspects
Juan Marcos Cerviño, Georg Hein
We study the theta map which assigns to a real quadratic form its theta series. We introduce two invariants reflecting whether the differential of the theta map vanishes or is dege…
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…
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=…
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…
On the Correspondence between Supersingular Elliptic Curves and maximal quaternionic Orders
Juan Marcos Cerviño
We present a deterministic and explicit algorithm to compute the endomorphism rings of supersingular elliptic curves. As an example we compute the endomorphism rings of all supersi…