AbstractLet A, D be finite subsets of Zk (the set of all k-tuples of integers), and consider the sequence of sets (A, A + D, A + D + D,…) which can be thought of growth in a crystal. One starts with a hub A and adds increments equal to D. We represent finite subsets of Zk by means of polynomials, and show that the sequence of polynomials corresponding to the crystal sequence is generated by a rational function. The proof is non-constructive
For each positive integer n ≥ 2, a new approach to expressing real numbers as sequences of nonnegati...
Crystal bases were first introduced as a combinatorial tool to understand representations of quantum...
Two natural properties of integer sequences are introduced and studied. The first, exact realizabili...
AbstractLet A, D be finite subsets of Zk (the set of all k-tuples of integers), and consider the seq...
AbstractA method is given for computing the generating function for a sequence of polynomials repres...
We prove that, for any fixed d, there is a polynomial time algorithm for computing the generating fu...
Suppose [Formula: see text] and [Formula: see text] are finite complexes, with [Formula: see text] s...
We prove that for any fixed d the generating function of the projection of the set of integer point...
Weyl group multiple Dirichlet series and metaplectic Whittaker functions can be described in terms o...
We present several results for growth functions of ideals of different com- binatorial structures. A...
In this paper, for a finitely generated monoid M, we tackle the following three questions: center do...
Crystallographic group theory is commonly regarded as the method of choice for the description of cr...
Crystals are models for representations of symmetrizable Kac-Moody Lie algebras. They have close con...
Includes bibliographical references (pages [113]-114)... It is already known that if a group is abel...
Abstract. We study the growth of polynomials on semialgebraic sets. For this purpose we associate a ...
For each positive integer n ≥ 2, a new approach to expressing real numbers as sequences of nonnegati...
Crystal bases were first introduced as a combinatorial tool to understand representations of quantum...
Two natural properties of integer sequences are introduced and studied. The first, exact realizabili...
AbstractLet A, D be finite subsets of Zk (the set of all k-tuples of integers), and consider the seq...
AbstractA method is given for computing the generating function for a sequence of polynomials repres...
We prove that, for any fixed d, there is a polynomial time algorithm for computing the generating fu...
Suppose [Formula: see text] and [Formula: see text] are finite complexes, with [Formula: see text] s...
We prove that for any fixed d the generating function of the projection of the set of integer point...
Weyl group multiple Dirichlet series and metaplectic Whittaker functions can be described in terms o...
We present several results for growth functions of ideals of different com- binatorial structures. A...
In this paper, for a finitely generated monoid M, we tackle the following three questions: center do...
Crystallographic group theory is commonly regarded as the method of choice for the description of cr...
Crystals are models for representations of symmetrizable Kac-Moody Lie algebras. They have close con...
Includes bibliographical references (pages [113]-114)... It is already known that if a group is abel...
Abstract. We study the growth of polynomials on semialgebraic sets. For this purpose we associate a ...
For each positive integer n ≥ 2, a new approach to expressing real numbers as sequences of nonnegati...
Crystal bases were first introduced as a combinatorial tool to understand representations of quantum...
Two natural properties of integer sequences are introduced and studied. The first, exact realizabili...
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