Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 41, 2016, 775-788

ZERO DISTRIBUTION OF DIRICHLET L-FUNCTIONS

Pei-Chu Hu and Ai-Di Wu

Shandong University, Department of Mathematics
Jinan 250100, Shandong Province, P.R. China; pchu 'at' sdu.edu.cn

Shandong University, Department of Mathematics
Jinan 250100, Shandong Province, P.R. China; wadlrr 'at' 163.com

Abstract. In this paper, we point out that there exists a positive percentage of the simple a-points of L_χ for a complex number a. Furthermore, we establish some inequalities about the number of distinct zeros of Dirichlet L-functions employing value distribution theory and other analytic tools.

2010 Mathematics Subject Classification: Primary 11M36; Secondary 30D35.

Key words: Riemann Zeta function, Dirichlet L-function, simple zeros, distinct zeros.

Reference to this article: P.-C. Hu and A.-D. Wu: Zero distribution of Dirichlet L-functions. Ann. Acad. Sci. Fenn. Math. 41 (2016), 775-788.

Full document as PDF file

doi:10.5186/aasfm.2016.4152