Kirillov, The Yang-Baxter equation, symmetric functions, and Schubert polynomials, in Proceedings of the 5th Conference on

Formal Power Series and Algebraic Combinatorics (Florence, 1993), Discrete Math.

The spherical growth series (SGS) of is the

formal power seriesIt is well known that the field of

formal power series over finite fields has a lot of properties in common to number fields (the finite extension of Q).

It is then natural to investigate the arithmetic properties of Z[[chi]], the ring of

formal power series with integer coefficients.

of Quebec, Montreal) show how

formal power series may be viewed as formal languages with coefficients, and how finite automata may be considered as linear representations of the free monoid.

For T [member of] O we will refer to the

formal power series [[sigma].

Four characteristics of this q-umbral calculus are the logarithmic behaviour, the

formal power series, the formal computations, and the frequent use of the infinity symbol.

However, in that case, to have existence and uniqueness of solutions, we were forced to consider formal solutions defined by

formal power series.

be a

formal power series, and let M, N, E be index sets in N x N = [N.

Brief consideration is given to the p-adic and the

formal power series cases.

A substantial part of the literature on the PA and related issues deals with the problem of approximation for analytical functions in zero or, in algebraic terms, the approximation of

formal power series of z.

21] Matthias Lenz, Hierarchical zonotopal power ideals, 23rd International Conference on

Formal Power Series and Algebraic Combinatorics (FPSAC 2011) in San Francisco, DMTCS Proceedings, Assoc.