arXiv:1810.01810 Abstract | arXiv Analytics

arXiv:1810.01810 [math.LO]Abstract References Reviews Resources

Logarithmic Hyperseries

Lou van den Dries, Joris van der Hoeven, Elliot Kaplan

Published 2018-10-03Version 1

We define the field $\mathbb{L}$ of logarithmic hyperseries, construct on $\mathbb{L}$ natural operations of differentiation, integration, and composition, establish the basic properties of these operations, and characterize these operations uniquely by such properties.

Comments: 42 pages

Categories: math.LO

Keywords: logarithmic hyperseries, basic properties, natural operations

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