Estimates for the number of zeros of shifted combinations of completed Dirichlet series

2024/01/05 by Pedro Ribeiro, Ribeiro, Pedro
Mathematics · #Analytic Number Theory Research #Complex Variables (math.CV) #FOS: Mathematics #Meromorphic and Entire Functions #Number Theory (math.NT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2401.02813

openalex publication_date 2024/01/05 · openalex created_date 2024/01/13 · openalex updated_date 2026/07/28

Abstract

In a previous paper, Yakubovich and the author of this article proved that certain shifted combinations of completed Dirichlet series have infinitely many zeros on the critical line. Here we provide some lower bounds for the number of critical zeros of a subclass of shifted combinations.

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