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 Hyperzeta function Balarka Sen Junior Fellow Posts: 25 Threads: 7 Joined: Feb 2013 03/15/2013, 09:42 AM (This post was last modified: 03/15/2013, 09:46 AM by Balarka Sen.) tommy1729 Wrote:Why is this function special ? It looks nice but Im not sure about having properties ... I can't answer any of these unless I have a strong base. As in my post in MyMathForum that I linked to, it has zeros at the negative integers and got 2 poles at z =1 and z = -1, respectively. The most interesting behavior I found is that the H(z) = H(z*)* where '*' denotes the conjugate. However I can't ensure any of these unless I get a good, well-formed analytic continuation. I request everyone here interested in this to help me at this issue. CVZ certainly isn't a bad idea but I still need to verify it. The thing in which I am most interested is if H(z) has any non trivial zeros on the complex plane. Thank You For Your Time, Balarka . « Next Oldest | Next Newest »

 Messages In This Thread Hyperzeta function - by Balarka Sen - 03/11/2013, 11:38 AM RE: Hyperzeta function - by Gottfried - 03/11/2013, 03:16 PM RE: Hyperzeta function - by Balarka Sen - 03/11/2013, 06:32 PM RE: Hyperzeta function - by Balarka Sen - 03/12/2013, 07:41 PM RE: Hyperzeta function - by tommy1729 - 03/12/2013, 11:57 PM RE: Hyperzeta function - by Balarka Sen - 03/15/2013, 09:42 AM RE: Hyperzeta function - by tommy1729 - 03/16/2013, 12:18 AM RE: Hyperzeta function - by Balarka Sen - 05/08/2013, 01:36 PM

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