2009arXiv (Cornell University)Open access

On Zeros of Certain Entire Functions

Ruiming Zhang

Open full text 1 citations

Abstract

Abstract. In this work we derive a sufficient condition to ensure certain genus 0 entire function that can have only negative zeros. We also apply this result to the Riemann hypothesis and generalized Riemann hypothesis for some primitive Dirichlet character.

Open-access reader

About this research paper

What this paper is about

Abstract. In this work we derive a sufficient condition to ensure certain genus 0 entire function that can have only negative zeros. We also apply this result to the Riemann hypothesis and generalized Riemann hypothesis for some primitive Dirichlet character.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Abstract. In this work we derive a sufficient condition to ensure certain genus 0 entire function that can have only negative zeros. We also apply this result to the Riemann hypothesis and generalized Riemann hypothesis for some primitive Dirichlet character.

Key concepts: Riemann hypothesis, Character (mathematics), Mathematics, Genus, Dirichlet L-function, Pure mathematics, Dirichlet distribution, Function (biology)

Related papers

Back to paper searchBrowse research topicsOriginal source
On Zeros of Certain Entire Functions — Research Paper | ScholarLens