What is a sequence of Nilsson type?
Stavros Garoufalidis
TL;DR
This paper introduces sequences of Nilsson type, explaining their defining properties, and discusses how to compute their asymptotic expansions, highlighting their significance across various mathematical fields.
Contribution
It provides an elementary introduction to sequences of Nilsson type, detailing their definition, uniqueness, existence, and methods for effective asymptotic expansion computation.
Findings
Sequences of Nilsson type are prevalent in multiple mathematical disciplines.
The paper establishes the conditions for the uniqueness and existence of these sequences.
Methods for effective computation of their asymptotic expansions are presented.
Abstract
Sequences of Nilsson type appear in abundance in Algebraic Geometry, Enumerative Combinatorics, Mathematical Physics and Quantum Topology. We give an elementary introduction on this subject, including the definition of sequences of Nilsson type and the uniqueness, existence, and effective computation of their asymptotic expansion.
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Taxonomy
TopicsAdvanced Combinatorial Mathematics · Commutative Algebra and Its Applications · Graph theory and applications