scholarly journals Simple zeros of modular L -functions

2014 ◽  
Vol 109 (6) ◽  
pp. 1465-1506 ◽  
Author(s):  
Micah B. Milinovich ◽  
Nathan Ng
Keyword(s):  
Simple Zeros

scholarly journals Simple zeros of degree 2 $L$-functions

2016 ◽  
Vol 18 (4) ◽  
pp. 813-823 ◽  
Author(s):  
Andrew Booker
Keyword(s):  
Simple Zeros

A NOTE ON SIMPLE ZEROS OF PRIMITIVE DIRICHLET -FUNCTIONS

2015 ◽  
Vol 93 (1) ◽  
pp. 19-30 ◽  
Author(s):  
KEIJU SONO
Keyword(s):  
Hilbert Spaces ◽  
Riemann Hypothesis ◽  
Reproducing Kernel ◽  
Pair Correlation ◽  
Reproducing Kernel Hilbert Spaces ◽  
Large Sieve ◽  
Simple Zeros ◽  
Proper Sense ◽  
Kernel Hilbert Spaces

In this paper, by using the theory of reproducing kernel Hilbert spaces and the pair correlation formula constructed by Chandee et al. [‘Simple zeros of primitive Dirichlet $L$-functions and the asymptotic large sieve’, Q. J. Math.65(1) (2014), 63–87], we prove that at least 93.22% of low-lying zeros of primitive Dirichlet $L$-functions are simple in a proper sense, under the assumption of the generalised Riemann hypothesis.

scholarly journals Counting distinct zeros of the Riemann zeta-function

10.37236/1195 ◽  
1994 ◽  
Vol 2 (1) ◽  
Author(s):  
David W. Farmer
Keyword(s):  
Zeta Function ◽  
Riemann Zeta Function ◽  
Simple Zeros ◽  
The Riemann Zeta Function ◽  
Riemann Zeta ◽  
Derivatives Of

Bounds on the number of simple zeros of the derivatives of a function are used to give bounds on the number of distinct zeros of the function.

Entire functions of unbounded index and having simple zeros

1970 ◽  
Vol 118 (3) ◽  
pp. 193-196 ◽  
Author(s):  
Swarupchand M. Shah
Keyword(s):  
Entire Functions ◽  
Simple Zeros

scholarly journals An efficient and optimal higher-order scheme in general way for simple zeros

2018 ◽  
Vol 1139 ◽  
pp. 012078
Author(s):  
Ramandeep Behl ◽  
Ali Saleh Alshomrani ◽  
Fouad Othman Mallawi ◽  
Mohammed Ali A. Mahnashi
Keyword(s):  
Higher Order ◽  
Simple Zeros ◽  
Order Scheme ◽  
Higher Order Scheme
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