A ZERO DENSITY ESTIMATE FOR THE SELBERG CLASS

2007 ◽  
Vol 03 (02) ◽  
pp. 263-273 ◽  
Author(s):  
ANIRBAN MUKHOPADHYAY ◽  
KOTYADA SRINIVAS
Keyword(s):  
Density Estimate ◽  
Selberg Class ◽  
Power Moment ◽  
Density Result ◽  
Zero Density ◽  
Symmetric Square

It is well known that bounds on moments of a specific L-function can lead to zero-density result for that L-function. In this paper, we generalize this argument to all L-functions in the Selberg class by assuming a certain second power moment. As an application, it is shown that in the case of symmetric-square L-function, this result improves the existing one.

scholarly journals Zero-density estimate of L-functions attached to Maass forms

2007 ◽  
Vol 127 (3) ◽  
pp. 273-284 ◽  
Author(s):  
A. Sankaranarayanan ◽  
J. Sengupta
Keyword(s):  
Density Estimate ◽  
Maass Forms ◽  
Zero Density

Zero-density estimate of L-functions for cusp forms

2019 ◽  
Vol 194 ◽  
pp. 284-296 ◽  
Author(s):  
Xiumin Ren ◽  
Wei Zhang
Keyword(s):  
Density Estimate ◽  
Cusp Forms ◽  
Zero Density

scholarly journals The third-power moment of the Riesz mean error term of symmetric square $ L $-function

2021 ◽  
Vol 6 (9) ◽  
pp. 9436-9445
Author(s):  
Rui Zhang ◽  
◽  
Xiaofei Yan
Keyword(s):  
Error Term ◽  
Power Moment ◽  
The Third ◽  
Mean Error ◽  
Riesz Mean ◽  
Symmetric Square

scholarly journals A large value theorem for $\zeta(s)$.

1995 ◽  
Vol Volume 18 ◽  
Author(s):  
K Ramachandra
Keyword(s):  
Density Estimate ◽  
Slight Improvement ◽  
Zero Density ◽  
International Audience

International audience In this paper, we prove a slight improvement of Huxley's zero-density estimate for $\zeta(s)$ near the line ${\rm Re}(s)=\frac{3}{4}$.

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