On Zeros of Certain Entire Functions
Ruiming Zhang
Abstract
Open-access reader
Ruiming Zhang
Abstract
Open-access reader
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.
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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)