An explicit example of Riemann surfaces with large bounds on corona solutions

TL;DR

This paper constructs explicit Riemann surfaces with large bounds on corona solutions by modifying Cole's example, providing an elementary approach to understanding these bounds.

Contribution

It presents a new, elementary construction of Riemann surfaces with large corona solution bounds, improving understanding of these bounds in complex analysis.

Findings

Explicit examples of Riemann surfaces with large corona bounds

Elementary construction method introduced

Enhanced understanding of corona solution bounds

Abstract

By modifying Cole's example, we construct explicit Riemann surfaces with large bounds on corona solutions in an elementary way.