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.
               
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