Formal Laurent series in several variables |
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| Authors: | Ainhoa Aparicio Monforte Manuel Kauers |
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| Institution: | 1. Université Lille 1 Sciences et Technologies, 59655 Villeneuve d’Ascq, Cedex, France;2. Research Institute for Symbolic Computation (RISC), Johannes Kepler University Linz, A4040 Linz, Austria |
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| Abstract: | We explain the construction of fields of formal infinite series in several variables, generalizing the classical notion of formal Laurent series in one variable. Our discussion addresses the field operations for these series (addition, multiplication, and division), the composition, and includes an implicit function theorem. |
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| Keywords: | primary 13F25 secondary 05A15 |
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