20071220, 10:40  #1 
May 2004
2^{2}·79 Posts 
DR zeta function
The DevarajRiemann zeta function is defined as follows:
Sigma(zeta(s) + n)^s, n going from 1 to infinity. When zeta(s) equals zero, we get the Riemann zeta function. Q: Can this function be zero even if zeta(s) is not zero? A.K.Devaraj 
20071220, 18:17  #2 
∂^{2}ω=0
Sep 2002
República de California
2×13×443 Posts 
I like the humble naming convention best.
Last fiddled with by ewmayer on 20071220 at 18:18 
20071220, 20:00  #3  
Feb 2005
2^{2}×3^{2}×7 Posts 
Quote:
See http://mathworld.wolfram.com/HurwitzZetaFunction.html 

20071220, 20:41  #4 
∂^{2}ω=0
Sep 2002
República de California
11518_{10} Posts 

20071220, 21:37  #5 
Dec 2003
Hopefully Near M48
2·3·293 Posts 
All special cases of the jinydu function:
f(a) = b where a is some element of a set A and b is some element of a set B But more seriously, I don't know whether or not that function has any zeroes, other than the Riemann Zeta function's zeros. Mathematica isn't of much help because it can't evaluate the function for Last fiddled with by jinydu on 20071220 at 21:44 
Thread Tools  
Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
Finite prime zeta?  CRGreathouse  Math  3  20090529 20:38 
Zeta(1+s)  mart_r  Math  4  20090204 17:19 
Zeta function by hand  Damian  Math  0  20060727 14:43 
Why zeta(2n)=0 ?  Crook  Math  1  20051208 02:34 
Riemann Zeta function  devarajkandadai  Miscellaneous Math  1  20040617 04:10 