A One-Stop Source of Known Results, a Bibliography of Papers on the Subject, and Novel
Research Directions Focusing on a very active area of research in the last decade …

We show that from the spectra of the Uq (sl (2)) symmetric XXZ spin-1/2 finite quantum chain
at Δ=− 1/2 (q= eπi/3) one can obtain the spectra of certain XXZ quantum chains with …

A composition of n consists of an ordered sequence of positive integers whose sum is n. A
palindromic composition (or palindrome) is one for which the sequence reads the same …

We investigate the combinatorial properties of the traces of the n th Hecke operators on the
spaces of weight 2k cusp forms of level N. We establish examples in which these traces are …

Rota’s umbral calculus and recursions Page 1 Algebra univers. 49 (2003) 435–457 0002-5240/03/040435
– 23 DOI 10.1007/s00012-003-1820-6 c©Birkhäuser Verlag, Basel, 2003 Algebra Universalis …

We consider tilings of 2× n, 3× n, and 4× n boards with 1× 1 squares and L-shaped tiles
covering an area of three square units, which can be used in four different orientations. For …

Both the format and guiding vision of Handbook of Linear Algebra remain unchanged, but a
substantial amount of new material has been included in the second edition. The length has …

In this paper, we evaluate determinants of several families of Hessenberg matrices having
various subsequences of the Jacobsthal sequence as their nonzero entries. These identities …

Let F (m, n) be the number of distinct configurations any number of non-attacking kings on
an m× n chessboard. We'll explore the sequences generated when we fix n at some small …

Jacobsthal numbers in generalised Petersen graphs Page 1 Jacobsthal numbers in generalised
Petersen graphs Henning Bruhn1 Laura Gellert 2 Jacob Günther Institut für Optimierung und …