2019/08/21 by Xavier Caruso, Caruso, Xavier
Computer Science · Engineering · Mathematics · #Advanced Differential Equations and Dynamical Systems #Coding theory and cryptography #Commutative Algebra and Its Applications #FOS: Computer and information sciences #FOS: Mathematics #Finite Group Theory Research #Polynomial and algebraic computation #Rings and Algebras (math.RA) #Symbolic Computation (cs.SC) #graph theory and CDMA systems
paper · pdf · doi:10.48550/arxiv.1908.08430
openalex publication_date 2019/08/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This paper constitutes a first attempt to do analysis with skew polynomials. Precisely, our main objective is to develop a theory of residues for skew rational functions (which are, by definition, the quotients of two skew polynomials). We prove in particular a skew analogue of the residue formula and a skew analogue of the classical formula of change of variables for residues.