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revised What is the Möbius analoge for Ihara's $\zeta$ function?
added 16 characters in body
May
24
revised An Expression for $\log\zeta(ns)$ derived from the Limit of the truncated Prime $\zeta$ Function
added 15 characters in body
May
24
comment What is the Möbius Function for graphs?
Hi. do you see how your answers could help here...
May
24
comment What is the Möbius Function for graphs?
Hi. I don't see how this helps here...
May
24
comment What is the Möbius Function for graphs?
Hi. I don't see how this helps here...
May
24
asked What is the Möbius analoge for Ihara's $\zeta$ function?
May
23
comment How to get from Chebyshev to Ihara?
Will, thanks for all our effort. I can't other than reward you, but I'll have to read carefully before I accept your detailed answer(s)...
May
22
revised When is ${(1-t^2)^{-N/2}}{\det(f_t(A))}$ expressible as polynomial?
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May
22
revised Matrix having to be orthogonal, knowing it's norm-preserving
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May
21
comment Class of graphs with symmetric random walk
Fine, if you like to address someone in comments you have to put @draks... somewhere in your comment, which triggers the notification. I'll delete my obsolete comments...
May
21
comment Returning Paths on Cubic Graphs
@Srivatsan Hi again, it's been a while, but the question evolved as you could see when you follow the links in subsequent questions...
May
21
comment How to get from Chebyshev to Ihara?
I just realized your latest edit: Great!!! Compared again with Ihara, it seems that $(1-t^2)$ appears for every pair of vertices in $G$...Now I wonder why it differs from the normal generating funtion for Chebychev's polynomials of 2nd kind?
May
21
revised Is this plot of Ford circles actually a fractal?
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May
21
comment Class of graphs with symmetric random walk
...and $P(\dots)$ means a probabilty?
May
21
comment How to get from Chebyshev to Ihara?
Sure I meant the product of eigenvalues
May
21
asked When is ${(1-t^2)^{-N/2}}{\det(f_t(A))}$ expressible as polynomial?
May
21
comment How to get from Chebyshev to Ihara?
My matrices are symmetric, so $\det$ is fine. I started to read about Ihara earlier and wondered how close I got by just evolving from Chris' answer by simple means. One key element for me is that Chris/Chebyshev and Ihara deal with non-backtracking paths. All this tells me that there should be a connection... Having all this, why should one think there is none?
May
21
awarded  Notable Question
May
20
reviewed Looks OK problem of arithmetic
May
20
comment How to get from Chebyshev to Ihara?
Right, I missed the length(y) part...Concerning the $\det$ in $(11)$: I added for two reasons. (i) A matrix valued function didn't make any sense to me here; (ii) I wanted to match Ihara's definition. For (i) you're also right, that I should have written something about the diagonal elements of $p_r(A)$. Again $\det$ serves to give product of all diagonal elements...