DOIAbstract
AbstractIt is shown that the class number of definite even quadratic forms of dimension 24 and discriminant 1 is 24. To prove this we consider even modular lattices corresponding to these forms and determine their isomorphy classes
AbstractIt is shown that the class number of definite even quadratic forms of dimension 24 and discriminant 1 is 24. To prove this we consider even modular lattices corresponding to these forms and determine their isomorphy classes
AbstractLetDmbe the ring of integers of an imgainary quadratic fieldQ(−m)withm≡3 (mod4). Then there ...
Suppose Q is a definite quadratic form on a vector space V over some totally real field K 6 = Q. The...
It is shown that the number of classes of nonisometric lattices on the space of rational n-tuples is...
In this paper we investigate integral even unimodular lattices L in a vector space with a totally po...
AbstractLet V be a definite quaternary space over Q having square discriminant. We derive an explici...
AbstractH. Pfeuffer [J. Number Theory 11 (1979), 188–196] showed that totally positive quadratic for...
We show that in the case of 2-dimensional lattices, Quebbemann's notion of modular and strongly modu...
AbstractA complete list of all 12-dimensional even unimodular lattices over Q(√5) is given. Theta se...
AbstractWe show that in the case of 2-dimensional lattices, Quebbemann's notion of modular and stron...
AbstractLetp>13 be a prime congruent to 1 modulo 4. Let G be the genus of a quaternary even positive...
AbstractWe prove that the representations numbers of a ternary definite integral quadratic form defi...
la version publiée est une traduction anglaise, et corrigée, de la première version déposéeInternati...
Le R be a principalidec domain withquotie tfie F.An R-lattice is afre R-module offinite rank spann...
Abstract. We present a theory of classifying quadratic forms over an algebraic number field which is...
We classify the lattices of rank 16 over the Eisenstein integers which are even unimodular -lattices...
AbstractLetDmbe the ring of integers of an imgainary quadratic fieldQ(−m)withm≡3 (mod4). Then there ...
Suppose Q is a definite quadratic form on a vector space V over some totally real field K 6 = Q. The...
It is shown that the number of classes of nonisometric lattices on the space of rational n-tuples is...
In this paper we investigate integral even unimodular lattices L in a vector space with a totally po...
AbstractLet V be a definite quaternary space over Q having square discriminant. We derive an explici...
AbstractH. Pfeuffer [J. Number Theory 11 (1979), 188–196] showed that totally positive quadratic for...
We show that in the case of 2-dimensional lattices, Quebbemann's notion of modular and strongly modu...
AbstractA complete list of all 12-dimensional even unimodular lattices over Q(√5) is given. Theta se...
AbstractWe show that in the case of 2-dimensional lattices, Quebbemann's notion of modular and stron...
AbstractLetp>13 be a prime congruent to 1 modulo 4. Let G be the genus of a quaternary even positive...
AbstractWe prove that the representations numbers of a ternary definite integral quadratic form defi...
la version publiée est une traduction anglaise, et corrigée, de la première version déposéeInternati...
Le R be a principalidec domain withquotie tfie F.An R-lattice is afre R-module offinite rank spann...
Abstract. We present a theory of classifying quadratic forms over an algebraic number field which is...
We classify the lattices of rank 16 over the Eisenstein integers which are even unimodular -lattices...
AbstractLetDmbe the ring of integers of an imgainary quadratic fieldQ(−m)withm≡3 (mod4). Then there ...
Suppose Q is a definite quadratic form on a vector space V over some totally real field K 6 = Q. The...
It is shown that the number of classes of nonisometric lattices on the space of rational n-tuples is...
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