AbstractWe prove a reciprocity formula between Gauss sums that is used in the computation of certain quantum invariants of 3-manifolds. Our proof uses the discriminant construction applied to the tensor product of lattices
We propose a certain formula of Dedekind sum by using two mutually distinct methods. The one is an e...
AbstractIn an earlier paper we conjectured an inequality for the Frobenius norm of the commutator of...
Comments and explanations have been added in several places to make calculations easily reproduceabl...
AbstractIn this note we present a short and elementary proof of Heckeʼs reciprocity law for Hecke–Ga...
Let $F_g(t)$ be the generating function of intersection numbers on the moduli spaces $\overline{\mat...
The present work splits in two parts: first, we perform a straightforward generalization of results ...
Using analytic functional equations, Berndt derived three reciprocity laws connecting five arithmeti...
AbstractThe well-known law of quadratic reciprocity has over 150 proofs in print. We establish a rel...
In previous work, the authors discovered new examples of q-hypergeometric series related to the arit...
We describe a number of constructions of irreducible representations of quantized enveloping algebra...
We consider the problem of finding complete sets of polynomial invariants of multipartite quantum sy...
AbstractIn this article, we give a proof of the link between the zeta function of two families of hy...
AbstractIn this paper, we prove some generalisations of several theorems given in [K.A. Driver, S.J....
AbstractWe prove that if Uℏ(g) is a quasitriangular QUE algebra with universal R-matrix R, and Oℏ(G∗...
In these notes we present preliminary results on quantum-like algorithms where tensor product is rep...
We propose a certain formula of Dedekind sum by using two mutually distinct methods. The one is an e...
AbstractIn an earlier paper we conjectured an inequality for the Frobenius norm of the commutator of...
Comments and explanations have been added in several places to make calculations easily reproduceabl...
AbstractIn this note we present a short and elementary proof of Heckeʼs reciprocity law for Hecke–Ga...
Let $F_g(t)$ be the generating function of intersection numbers on the moduli spaces $\overline{\mat...
The present work splits in two parts: first, we perform a straightforward generalization of results ...
Using analytic functional equations, Berndt derived three reciprocity laws connecting five arithmeti...
AbstractThe well-known law of quadratic reciprocity has over 150 proofs in print. We establish a rel...
In previous work, the authors discovered new examples of q-hypergeometric series related to the arit...
We describe a number of constructions of irreducible representations of quantized enveloping algebra...
We consider the problem of finding complete sets of polynomial invariants of multipartite quantum sy...
AbstractIn this article, we give a proof of the link between the zeta function of two families of hy...
AbstractIn this paper, we prove some generalisations of several theorems given in [K.A. Driver, S.J....
AbstractWe prove that if Uℏ(g) is a quasitriangular QUE algebra with universal R-matrix R, and Oℏ(G∗...
In these notes we present preliminary results on quantum-like algorithms where tensor product is rep...
We propose a certain formula of Dedekind sum by using two mutually distinct methods. The one is an e...
AbstractIn an earlier paper we conjectured an inequality for the Frobenius norm of the commutator of...
Comments and explanations have been added in several places to make calculations easily reproduceabl...