On simple zeros of derivatives of the Riemann $ \xi$-function

2006 ◽  
Vol 70 (2) ◽  
pp. 265-276 ◽  
Author(s):  
I S Rezvyakova
2009 ◽  
Vol 129 (11) ◽  
pp. 2743-2746
Author(s):  
Haseo Ki ◽  
Yoonbok Lee

10.37236/1195 ◽  
1994 ◽  
Vol 2 (1) ◽  
Author(s):  
David W. Farmer

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.


1983 ◽  
Vol 34 (6) ◽  
pp. 774-786 ◽  
Author(s):  
�rp�d Elbert ◽  
Andrea Laforgia

2010 ◽  
Vol 150 (2) ◽  
pp. 343-351 ◽  
Author(s):  
J. K. LANGLEY

AbstractLet f be a real meromorphic function of infinite order in the plane, with finitely many zeros and non-real poles. Then f″ has infinitely many non-real zeros.


1988 ◽  
Vol 19 (6) ◽  
pp. 1450-1454 ◽  
Author(s):  
Lee Lorch ◽  
Peter Szego

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