Abstract

In this article we establish the zero-free region of certain Dirichlet polynomials $L_{F, X}$ arising in approximate functional equation for functions in the Selberg class and we prove an asymptotic formula for the number of zeros of $L_{F, X}$.

DOI

10.3906/mat-1503-102

Keywords

Selberg class, Dirichlet polynomial, approximate functional equation, distribution of zeros

First Page

477

Last Page

489

Recommended Citation

BLLACA, K. H (2015). On zeros of certain Dirichlet polynomials. Turkish Journal of Mathematics 39 (4): 477-489. https://doi.org/10.3906/mat-1503-102

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