Abstract
We calculate full asymptotic expansions of prime-independent multiplicative functions on additive arithmetic semigroups that satisfy a strong form of Knopfmacher’s axioms. When applied to the semigroup of unlabeled graphs, our method yields detailed asymptotic information on how graphs decompose into connected components. As a second class of examples, we discuss polynomials in several variables over a finite field.
Citation
Marco Aldi. Hanqiu Tan. "Asymptotic expansion of Warlimont functions on Wright semigroups." Involve 12 (7) 1081 - 1098, 2019. https://doi.org/10.2140/involve.2019.12.1081
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