# Some remarks on upper bounds for Weierstrass primary factors and their application in spectral theory

## TL;DR

This paper investigates upper bounds for Weierstrass primary factors, highlighting historical work and presenting new results and numerical computations, with applications in spectral theory.

## Contribution

It introduces new bounds for Weierstrass primary factors and explores their applications in spectral theory, building on historical and recent results.

## Key findings

- New bounds for Weierstrass primary factors
- Numerical computations illustrating bounds
- Applications to spectral theory

## Abstract

We study upper bounds on Weierstrass primary factors and discuss their application in spectral theory. One of the main aims of this note is to draw attention to works of Blumenthal and Denjoy from 1910, but we also provide some new results and some numerical computations of our own.