Open AccessOn zeros of certain Dirichlet polynomials
Author(s) -
Kajtaz H. Bllaca
Publication year - 2015
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1503-102
Subject(s) - mathematics , dirichlet series , zero (linguistics) , dirichlet l function , dirichlet distribution , class (philosophy) , pure mathematics , class number formula , dirichlet's principle , analytic number theory , asymptotic formula , combinatorics , mathematical analysis , linguistics , philosophy , artificial intelligence , computer science , boundary value problem
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 $L_{F, X}$.
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