English

Logarithmic Hyperseries

Logic 2018-10-04 v1

Abstract

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

Keywords

Cite

@article{arxiv.1810.01810,
  title  = {Logarithmic Hyperseries},
  author = {Lou van den Dries and Joris van der Hoeven and Elliot Kaplan},
  journal= {arXiv preprint arXiv:1810.01810},
  year   = {2018}
}

Comments

42 pages