This is a complement to my previous article “Advanced Determinant Calculus”[C.
Krattenthaler, Advanced determinant calculus, Séminaire Lotharingien Combin. 42 …

In their recent paper, Alday et al.(Lett Math Phys 91: 167–197, 2010) proposed a relation
between N= 2 four-dimensional supersymmetric gauge theories and two-dimensional …

Le calcul formel traite des objets mathématiques exacts d'un point de vue informatique. Cet
ouvrage «Algorithmes efficaces en calcul formel» explore deux directions: la calculabilité et …

We examine the combinatorial or probabilistic definition (“Boltzmann's principle”) of the
entropy or cross-entropy function H∝ \rmlnW or D∝-\rmlnP, where W is the statistical weight …

An explicit expansion formula for the powers of the Euler Product in terms of partition hook
lengths was discovered by Nekrasov and Okounkov in their study of the Seiberg-Witten …

In recent years, plethystic calculus has emerged as a powerful technical tool for studying
symmetric polynomials. In particular, some striking recent advances in the theory of …

This is a review (including some background material) of the author's work and related
activity on certain exactly solvable statistical models in two dimensions, including the six …

Representation Theory of Symmetric Groups is the most up-to-date abstract algebra book on
the subject of symmetric groups and representation theory. Utilizing new research and …

Factorial Schur functions are generalizations of Schur functions that have, in addition to the
usual variables, a second family of" shift" parameters. We show that a factorial Schur …

We describe a method, based on the theory of Macdonald–Koornwinder polynomials, for
proving bounded Littlewood identities. Our approach provides an alternative to Macdonald's …