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Bivariate Dimension Quasi-polynomials of Difference–Differential Field Extensions with Weighted Basic Operators

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We prove the existence and determine some invariants of a Hilbert-type bivariate quasi-polynomial associated with a difference–differential field extension with weighted basic derivations and translations. We also show that such… Click to show full abstract

We prove the existence and determine some invariants of a Hilbert-type bivariate quasi-polynomial associated with a difference–differential field extension with weighted basic derivations and translations. We also show that such a quasi-polynomial can be expressed in terms of univariate Ehrhart quasi-polynomials of rational conic polytopes.

Keywords: quasi polynomials; weighted basic; difference differential; differential field; quasi

Journal Title: Mathematics in Computer Science
Year Published: 2019

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