Shifted fourth moment of the Riemann zeta-function

2012 ◽  
Vol 137 (1-2) ◽  
pp. 104-129
Author(s):  
Shun Shimomura
Keyword(s):  
Zeta Function ◽  
Riemann Zeta Function ◽  
Fourth Moment ◽  
The Riemann Zeta Function ◽  
Riemann Zeta

scholarly journals THE TWISTED SECOND MOMENT OF THE DEDEKIND ZETA FUNCTION OF A QUADRATIC FIELD

2014 ◽  
Vol 10 (01) ◽  
pp. 235-281 ◽  
Author(s):  
WINSTON HEAP
Keyword(s):  
Zeta Function ◽  
Riemann Zeta Function ◽  
Quadratic Field ◽  
Fourth Moment ◽  
Dirichlet Polynomial ◽  
Second Moment ◽  
Dedekind Zeta Function ◽  
The Riemann Zeta Function ◽  
Riemann Zeta

We compute the second moment of the Dedekind zeta function of a quadratic field times an arbitrary Dirichlet polynomial of length T1/11-∊. Our result generalizes a formula of Hughes and Young concerning the fourth moment of the Riemann zeta function.

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