English

$\mathbb{F}_p$ and $Z_p$ Valued Holomorphic Functions over Graphs

Rings and Algebras 2016-12-30 v1

Abstract

The definition of a holomorphic function over a general measurable space SS endowed with a Markov process is defined by Zeghib and Barre. In this article we consider holomorphic functions over graphs whose ranges are a given finite field or a cyclic group. Also we consider a relation between C\mathbb{C}-holomorphic functions over regular trees and the field of pp-adic numbers.

Keywords

Cite

@article{arxiv.1612.09036,
  title  = {$\mathbb{F}_p$ and $Z_p$ Valued Holomorphic Functions over Graphs},
  author = {Hossein Mohades},
  journal= {arXiv preprint arXiv:1612.09036},
  year   = {2016}
}
R2 v1 2026-06-22T17:36:26.414Z