The hyperdeteminants considered here are the simplest analogues of determinants for higher rank tensors which have been defined by Cayley, and apply only to tensors with an even number of indices. We have shown in a previous article that the calculation of certain multidimensional integrals could be reduced to the evaluation of hyperdeterminants of Hankel type. Here, we carry out this computation by purely algebraic means in the cases of Selberg's and Aomoto's integrals
In a recent paper Richards and Zheng compute the determinant of a matrix whose entries are given by ...
New version of "A remark about factorizing GCD-type Hyperdeterminants". Title changed. Results, exam...
Hyperdeterminants are generalizations of determinants from matrices to multi-dimensional hypermatric...
The hyperdeteminants considered here are the simplest analogues of determinants for higher rank tens...
The hyperdeteminants considered here are the simplest analogues of determinants for higher rank tens...
32 pages, LaTex, IOP macrosWe investigate the simplest class of hyperdeterminants defined by Cayley ...
AbstractIn an earlier paper [D. Richards, Q. Zheng, Determinant formulas for multidimensional hyperg...
AbstractIn work on critical values of linear functions and hyperplane arrangements, A. Varchenko (Iz...
AbstractHyperasymptotic expansions are in terms of certain multiple integrals, the so-called hyperte...
In the previous paper (J. Combin. Theory Ser. A, 120, 2013, 1263--1284) H. Tagawa and the two author...
In an earlier paper (Adv. Appl. Math. 29 (2002), 137{151) on the determinants of certain period matr...
AbstractHyperasymptotic expansions are in terms of certain multiple integrals, the so-called hyperte...
AbstractA new method is introduced for the computation of hyperterminants. It is based on recurrence...
Abstract. In our previous works “Pfaffian decomposition and a Pfaffian analogue of q-Catalan Hankel ...
International audienceThe decomposition of the Laughlin wave function in the Slater orthogonal basis...
In a recent paper Richards and Zheng compute the determinant of a matrix whose entries are given by ...
New version of "A remark about factorizing GCD-type Hyperdeterminants". Title changed. Results, exam...
Hyperdeterminants are generalizations of determinants from matrices to multi-dimensional hypermatric...
The hyperdeteminants considered here are the simplest analogues of determinants for higher rank tens...
The hyperdeteminants considered here are the simplest analogues of determinants for higher rank tens...
32 pages, LaTex, IOP macrosWe investigate the simplest class of hyperdeterminants defined by Cayley ...
AbstractIn an earlier paper [D. Richards, Q. Zheng, Determinant formulas for multidimensional hyperg...
AbstractIn work on critical values of linear functions and hyperplane arrangements, A. Varchenko (Iz...
AbstractHyperasymptotic expansions are in terms of certain multiple integrals, the so-called hyperte...
In the previous paper (J. Combin. Theory Ser. A, 120, 2013, 1263--1284) H. Tagawa and the two author...
In an earlier paper (Adv. Appl. Math. 29 (2002), 137{151) on the determinants of certain period matr...
AbstractHyperasymptotic expansions are in terms of certain multiple integrals, the so-called hyperte...
AbstractA new method is introduced for the computation of hyperterminants. It is based on recurrence...
Abstract. In our previous works “Pfaffian decomposition and a Pfaffian analogue of q-Catalan Hankel ...
International audienceThe decomposition of the Laughlin wave function in the Slater orthogonal basis...
In a recent paper Richards and Zheng compute the determinant of a matrix whose entries are given by ...
New version of "A remark about factorizing GCD-type Hyperdeterminants". Title changed. Results, exam...
Hyperdeterminants are generalizations of determinants from matrices to multi-dimensional hypermatric...