Structure of the singularities of operator functions with a positive imaginary part

1992 ◽  
Vol 25 (4) ◽  
pp. 243-253 ◽  
Author(s):  
S. N. Naboko
Keyword(s):  
Imaginary Part ◽  
Positive Imaginary Part ◽  
Operator Functions

3.4. Null-sets of operator functions with a positive imaginary part

1984 ◽  
Vol 26 (5) ◽  
pp. 2144-2146 ◽  
Author(s):  
B. S. Pavlov ◽  
L. D. Faddeev
Keyword(s):  
Imaginary Part ◽  
Positive Imaginary Part ◽  
Operator Functions

Upper bounds of some special zeros for the Rankin-Selberg L-function

2020 ◽  
Vol 70 (4) ◽  
pp. 795-806
Author(s):  
Kajtaz H. Bllaca
Keyword(s):  
Imaginary Part ◽  
Upper Bound ◽  
Upper Bounds ◽  
Central Point ◽  
Positive Imaginary Part

AbstractIn this paper, we prove some conditional results about the order of zero at central point s = 1/2 of the Rankin-Selberg L-function L(s, πf × π͠′f). Then, we give an upper bound for the height of the first zero with positive imaginary part of L(s, πf × π͠′f). We apply our results to automorphic L-functions.

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