On a variance associated with the distribution of primes in arithmetic progressions

2001 ◽  
Vol 82 (3) ◽  
pp. 533-553 ◽  
Author(s):  
R. C. Vaughan
Keyword(s):  
Arithmetic Progressions ◽  
Distribution Of Primes ◽  
Primes In Arithmetic Progressions

EFFECTIVE LOWER BOUND FOR THE VARIANCE OF DISTRIBUTION OF PRIMES IN ARITHMETIC PROGRESSIONS

2008 ◽  
Vol 04 (01) ◽  
pp. 45-56 ◽  
Author(s):  
EMMANUEL KNAFO
Keyword(s):  
Lower Bound ◽  
Arithmetic Progressions ◽  
Distribution Of Primes ◽  
Primes In Arithmetic Progressions ◽  
Siegel Zeros

Through a refinement for the estimation of the effect of Siegel zeros, we show how to avoid the use of Siegel's theorem in order to obtain the first effective lower bound for the variance of distribution of primes in arithmetic progressions.

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