Add to ORKGThroughout this talk we consider only positive definite even unimodular lattces. S. Manni [12] proved Theorem 1.1. In 56 (resp. 72) dimensional even unimodular exlremal lattices, the theta series associated to such lattices we can say that in degree 3 their difference is, up to a mvltiplicative, possibly $0$, constant, and equa
This thesis examines unimodular even lattices in Euclidean vector spaces, called theta lattices in t...
Heninger, Rains and Sloane proved that the nth root of the theta series of any extremal even unimodu...
AbstractWe derive formulae for the theta series of the two translates of the even sublattice L0 of a...
AbstractIt is shown that there is a unique Siegel theta series of degree 2 for extremal even unimodu...
We prove that the theta series of any odd unimodular Euclidean lattice is not congruent to 1 modulo ...
AbstractWe give a short uniqueness proof for the E8 root lattice, and in fact for all positive defin...
AbstractUsing two newly discovered [40, 20] codes and a [40, 20] code, which is equivalent to a know...
We look at genera of even unimodular lattices of rank 12 over the ring of integers of Q(5) and of ra...
AbstractAn invariant introduced by Hsia (J. Number Theory 12 (1980), 327–333) is modified and a canc...
AbstractThe aim of this paper is to improve the results of [o] about the theta series associated to ...
AbstractLet L be an odd unimodular lattice of dimension n with shadow n−16. If min(L)⩾3 then dim(L)⩽...
In a previous paper we showed that if one particular Fourier coefficient of the Siegel theta series ...
AbstractA complete list of all 12-dimensional even unimodular lattices over Q(√5) is given. Theta se...
We derive formulae for the theta series of the two translates of the even sublattice L-0 of an odd u...
Theta series for lattices with indefinite signature $(n_+,n_-)$ arise in many areas of mathematics i...
This thesis examines unimodular even lattices in Euclidean vector spaces, called theta lattices in t...
Heninger, Rains and Sloane proved that the nth root of the theta series of any extremal even unimodu...
AbstractWe derive formulae for the theta series of the two translates of the even sublattice L0 of a...
AbstractIt is shown that there is a unique Siegel theta series of degree 2 for extremal even unimodu...
We prove that the theta series of any odd unimodular Euclidean lattice is not congruent to 1 modulo ...
AbstractWe give a short uniqueness proof for the E8 root lattice, and in fact for all positive defin...
AbstractUsing two newly discovered [40, 20] codes and a [40, 20] code, which is equivalent to a know...
We look at genera of even unimodular lattices of rank 12 over the ring of integers of Q(5) and of ra...
AbstractAn invariant introduced by Hsia (J. Number Theory 12 (1980), 327–333) is modified and a canc...
AbstractThe aim of this paper is to improve the results of [o] about the theta series associated to ...
AbstractLet L be an odd unimodular lattice of dimension n with shadow n−16. If min(L)⩾3 then dim(L)⩽...
In a previous paper we showed that if one particular Fourier coefficient of the Siegel theta series ...
AbstractA complete list of all 12-dimensional even unimodular lattices over Q(√5) is given. Theta se...
We derive formulae for the theta series of the two translates of the even sublattice L-0 of an odd u...
Theta series for lattices with indefinite signature $(n_+,n_-)$ arise in many areas of mathematics i...
This thesis examines unimodular even lattices in Euclidean vector spaces, called theta lattices in t...
Heninger, Rains and Sloane proved that the nth root of the theta series of any extremal even unimodu...
AbstractWe derive formulae for the theta series of the two translates of the even sublattice L0 of a...