منابع مشابه
On the computation of Hilbert series and Poincare series for algebras with infinite Grobner bases
In this paper we present algorithms to compute finite state automata which, given any rational language, recognize the languages of normal words and n-chains. We also show how these automata can be used to compute the Hilbert series and Poincaré series for any algebra with a rational set of leading words of its minimal Gröbner basis.
متن کاملComputation of Hilbert Schemes
Hilbert schemes are a basic topic in Algebraic Geometry [1, 2]. Methods related to Gröbner bases are fundamental here, as Hartshorne’s proof of the connectedness of Hilbert schemes via generic initial ideals demonstrates [3]. For many purposes, the explicit construction of Hilbert schemes is important. Classical approaches lead to prohibitively large equations. Newer ideas like Gröbner strata [...
متن کاملOn the Zeros of Certain Poincaré Series
We locate all of the zeros of certain Poincaré series associated with the Fricke groups Γ0(2) and Γ ∗ 0(3) in their fundamental domains by applying and extending the method of F. K. C. Rankin and H. P. F. Swinnerton-Dyer (“On the zeros of Eisenstein series”, 1970).
متن کاملThe MAPLE package for calculating Poincaré series
Abstract. We offer a Maple package Poincare_Series for calculating the Poincaré series for the algebras of invariants/covariants of binary forms, for the algebras of joint invariants/covariants of several binary forms, for the kernel of Weitzenböck derivations,for the bivariate Poincaré series of algebra of covariants of binary d-form and for the multivariate Poincaré series of the algebras of ...
متن کاملHilbert Spaces of Dirichlet Series
We consider various Hilbert spaces of Dirichlet series whose norms are given by weighted l2 norms of the Dirichlet coefficients. We characterize the multiplier algebras for some of these spaces. 0 Introduction Let w = {wn}n=n0 be a sequence of positive numbers. In this paper we are concerned with Hilbert spaces of functions representable by Dirichlet series: H w = {
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1997
ISSN: 0022-4049
DOI: 10.1016/s0022-4049(96)00035-7