Kajtaz H. BLLACA

3221

On zeros of certain Dirichlet polynomials

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 $L_{F, X}$.
Anahtar Kelimeler:

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

On zeros of certain Dirichlet polynomials

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 $L_{F, X}$.
Keywords:

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

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: Yılda 6 Sayı
  • Yayıncı: TÜBİTAK
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