Kajtaz H. BLLACA

7897

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,

PDF
Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
Sayıdaki Diğer Makaleler

The prime tournaments $T$ with $\mid\! W_{5}(T) \!\mid = \mid\! T \!\mid -2$

Houmem BELKHECHINE, İmed BOUDABBOUS, Kaouthar HZAMI

On zeros of certain Dirichlet polynomials

Kajtaz H. BLLACA

Warped product skew semi-invariant submanifolds of order 1 of a locally product Riemannian manifold

Hakan Mete TASTAN

Invariant distributions and holomorphic vector fields in paracontact geometry

Mircea CRASMAREANU, Laurian-Ioan PISCORAN

Warped product skew semi-invariantsubmanifolds of order $1$ of a locallyproduct Riemannian manifold

Hakan Mete TAŞTAN

A note on m-embedded subgroups of finite groups

Juping TANG, Long MIAO

Some identities for the Glasser transform and their applications

Faruk UÇAR

Stability of compact Ricci solitons under Ricci flow

Mina VAGHEF, Asadollah RAZAVI

On certain minimal non-$\mathfrak{Y}$-groups for some classes $\mathfrak{Y}$

Ahmet ARIKAN, Selami ERCAN

Existence of solutions for a first-order nonlocal boundary value problem with changing-sign nonlinearity

Fatma Serap TOPAL, Erbil ÇETİN