On the asymptotic criterion for the zero-free regions of certain LLL-functions

Almasa ODZAK

Makale detayları

On the asymptotic criterion for the zero-free regions of certain LLL-functions

Yazarlar:

Almasa ODZAK

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 3, pp.688-702

Belge Tipi:

Makale

Yayın Tarihi:

5/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746998

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

We investigate relations between zero-free regions of certain LLL-functions and the asymptotic behavior of corresponding generalized Li coefficients. Precisely, we prove that violation of the τ/2τ/2\tau/2-generalized Riemann hypothesis implies oscillations of corresponding ττ\tau-Li coefficients with exponentially growing amplitudes. Results are obtained for class \shfs\shfs\shfs that contains the Selberg class, the class of all automorphic LLL-functions, the Rankin--Selberg LLL-functions, and products of suitable shifts of the mentioned functions.

Makale detayları

On the asymptotic criterion for the zero-free regions of certain LLL-functions

Yazarlar: Almasa ODZAK

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 3, pp.688-702

Belge Tipi: Makale

Yayın Tarihi: 5/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000746998

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Almasa ODZAK

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 3, pp.688-702

Belge Tipi:

Makale

Yayın Tarihi:

5/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746998

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098