منابع مشابه
Partial Fractions and q-Binomial Determinant Identities
Partial fraction decomposition method is applied to evaluate a general determinant of shifted factorial fractions, which contains several Gaussian binomial determinant identities .
متن کاملM ar 2 00 9 TRACE DIAGRAMS , MATRIX MINORS , AND DETERMINANT IDENTITIES
Trace diagrams are structured graphs with edges labeled by matrices. Each diagram has an interpretation as a particular multilinear function, allowing algebraic proofs to be made in the diagrammatic category. We provide a rigorous combinatorial definition of these diagrams, and prove that they may be efficiently represented in terms of matrix minors. Using this viewpoint, we provide new proofs ...
متن کاملSOME q-ANALOGUES OF DETERMINANT IDENTITIES WHICH AROSE IN PLANE PARTITION ENUMERATION
We prove q-analogues of two determinant identities of a previous paper of the author. These determinant identities are related to the enumeration of totally symmetric self-complementary plane partitions.
متن کاملDeterminant Identities and a Generalization of the Number of Totally Symmetric Self-complementary Plane Partitions
We prove a constant term conjecture of Robbins and Zeilberger (J. Combin. Theory Ser. A 66 (1994), 17–27), by translating the problem into a determinant evaluation problem and evaluating the determinant. This determinant generalizes the determinant that gives the number of all totally symmetric self-complementary plane partitions contained in a (2n)×(2n)×(2n) box and that was used by Andrews (J...
متن کاملElliptic Determinant Evaluations and the Macdonald Identities for Affine Root Systems
Determinants play an important role in many areas of mathematics. Often, the solution of a particular problem in combinatorics, mathematical physics or, simply, linear algebra, depends on the explicit computation of a determinant. Some useful and efficient tools for evaluating determinants are provided in Krattenthaler’s survey articles [K2], [K3], which also contain many explicit determinant e...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1993
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1993.158.1