On the Number of Zeros and Poles of Dirichlet Series

Autor:	Li, Bao Qin
Rok vydání:	2016
Předmět:	Mathematics - Complex Variables 30B50 11M41 11M36
Druh dokumentu:	Working Paper
Popis:	This paper investigates lower bounds on the number of zeros and poles of a general Dirichlet series in a disk of radius $r$ and gives, as a consequence, an affirmative answer to an open problem of Bombieri and Perelli on the bound. Applications will also be given to Picard type theorems, global estimates on the symmetric difference of zeros, and uniqueness problems for Dirichlet series. Comment: 24 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1602.08458 Zobrazit plný text záznamu View this record from Arxiv