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visits member for 3 years, 10 months
seen Sep 25 at 7:03

Useful links:

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and I believe that Riemann's Hypothesis is true...

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Old Stuff:

Chuck Norris solved the Travelling Salesman problem in $O(1)$ time.


Jarrell: I thought you said to stay on the path!
Old Man: Yes, but you must know when to break the rules!


Mathematics (SE) should be the most comprehensive, most visited, and most valuable mathematics resource on the web. I don't see a reason to shoot for anything less. [Amen]


From Area51:


Sep
24
awarded  Autobiographer
Sep
10
comment Asymptotic density of k-almost primes
@TheMaskedAvenger or martin: could you post a link to the ArXiv paper?
May
9
comment Ihara zeta and chromatic number of graphs
Dear Chris, when the IZF for regular graphs is defined via the spectrum of the adjacency matrix, how could this help to get IZF from Chebycheff Polynomials?
May
9
comment Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
Tom, I'm confused. I thought the $N_m$ are closed loops without back tracking. But your formula the calculate it just uses powers of $A_n$ which includes backtracking. I got a nice answer by Chris Godsil, that shows a way to get returning paths without backtracking. It is linked to the question I referenced above...
May
9
revised Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
latex missing
May
9
suggested suggested edit on Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
May
9
revised Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
typo and link
May
9
suggested suggested edit on Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
Nov
27
comment Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
Maybe you can help answering this question: How to get from Chebyshev to Ihara?
Nov
27
comment Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
Nonetheless, I think the graph zeta function example is not right, right?
Nov
26
comment Cycling through the Zeta Garden: Zeta functions for graphs, cycle index polynomials, and determinants
When I compare your Ihara $\zeta$ function with the one at Wikipedia, I assume that your $A_n$ in fact *is Hashimoto's edge adjacency operator $T$, from $ \zeta_G(u) = \frac{1}{\det (I-Tu)}~, $.* In addition when you power up to $A_n^m$, the trace would count all returning paths including non-prime ones (with backtracking). I thought it only counts prime walks, see here (Chap 2.).‌​..
Aug
26
awarded  Investor
Jun
27
awarded  Critic
Jun
27
awarded  Custodian
Jun
27
reviewed No Action Needed Theorems (from clone theory) that can be stated only by using operations and their composition.
Jun
27
awarded  Informed
Jun
25
awarded  Citizen Patrol
Jan
24
revised An Expression for $\log\zeta(ns)$ derived from the Limit of the truncated Prime $\zeta$ Function
added 601 characters in body
Jan
23
revised An Expression for $\log\zeta(ns)$ derived from the Limit of the truncated Prime $\zeta$ Function
added 411 characters in body
Jan
21
revised An Expression for $\log\zeta(ns)$ derived from the Limit of the truncated Prime $\zeta$ Function
added 108 characters in body