Large sieve for special characters to Gaussian prime square moduli

2020 ◽  
Author(s):  
Arpit Bansal
Keyword(s):  
Large Sieve

Signal Recovery and the Large Sieve

1992 ◽  
Vol 52 (2) ◽  
pp. 577-591 ◽  
Author(s):  
D. L. Donoho ◽  
B. F. Logan
Keyword(s):  
Signal Recovery ◽  
Large Sieve

Large Sieve Inequalities for Algebraic Trace Functions

2016 ◽  
pp. rnw074 ◽  
Author(s):  
Ping Xi ◽  
Emmanuel Kowalski ◽  
Philippe Michel ◽  
Keyword(s):  
Large Sieve

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 LARGE SIEVE INEQUALITY WITH CHARACTERS FOR POWERFUL MODULI

2005 ◽  
Vol 01 (02) ◽  
pp. 265-279 ◽  
Author(s):  
STEPHAN BAIER ◽  
LIANGYI ZHAO
Keyword(s):  
General Formula ◽  
Large Sieve ◽  
Large Sieve Inequality

In this paper we aim to generalize the results in [1, 2, 19] and develop a general formula for large sieve with characters to powerful moduli that will be an improvement to the result in [19].

scholarly journals Some remarks concerning the Large Sieve type

1971 ◽  
Vol 18 ◽  
pp. 405-422 ◽  
Author(s):  
P. Elliott
Keyword(s):  
Large Sieve
Sign in / Sign up

Export Citation Format

Share Document