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This sequence is made to have a symmetrical structure while having one for the first and last term. Doing a modulo 2 version like that which produces a...
Generalized L functions over polynomials modulo to the primes: You identify each modulo value of the primes to a root and define the function by that. Modulo...
http://mathworld.wolfram.com/LanglandsReciprocity.html The conjecture that the Artin L-function of any n-dimensional complex representation of the Galois group...
I was looking at the sequence D_1,B_2,D_5,D_10,D_20 as SO(2),SO(5),SO(10) , SO(20),SO(40),... as a sequence trying to see the pattern involved. I came up with...
In looking at the Lucas numbers they start at two for the n=0 term. The two Golden mean roots to the zeroth power... The zeroth Fibonacci numbers cancel to...
... http://en.wikipedia.org/wiki/Terence_Tao http://www.math.ucla.edu/~tao/ Terrence Tao and Ben Green proved there are polynomials of arbitrary length that...
After thinking of that proof, I thought of the oldest Prime generating polynomial of them all: Euler's x^2+x+41. As you can see the Binet functions of both...
11 prime Binet sequence submitted: as a demonstration of the zeroth prime proof. ... Subject: SEQ FROM Roger L. Bagula Date: Mon, 11 Aug 2008 20:44:02 -0400 ...
Hi, I need to work with things like the 0.6th derivative of (log x)^5. I'd be very grateful if someone could tell me a formula for the fractional derivative...
http://mathworld.wolfram.com/notebooks/Calculus/FractionalDerivative.nb http://mathworld.wolfram.com/FractionalCalculus.html Fractional Calculus The study of...
... hanrahan398 The Abel derivative is associated with a Gamma function type integral. Both Liouville and Poisson did work in this area as well. You have a...
http://www.internationalmathematicasymposium.org/IMS99/paper46/FractionalCalculus.nb Chain ruling the derivative using this defintion gives: (Gamma[ m +...
Hi Roger, many thanks for your help. Can you help me get a formula for the t-th derivative of 1/log(x) (or if more realistic, of 1/log(1+x)), where t varies...
After getting it working yesterday, I thought of redefined primes with {0,1} in the program: Clear[p, q, c, r, f, g, b] q[n_] = If[n == 0, 0, If[n == 1, 1,...
Hi Roger, thanks again for your help. I'm afraid some of what you have written is above my head. Not so much the mathematics, but the use of Mathematica. I...
... hanrahan398 Michael, I get accused of "doing peoples's homework". I have also had the experience of answering a question and working out a problem, and...
Fellow moderators: If you click through a post like this one, you should be willing to answer it as well. Making the owner do all the hard work isn't in your...
... I guess you didn't realise the Taylor series for 1/log(1+x) was divergent, and would still be divergent once the Abel differintegral for x^n was applied? ...
I started Active Mathematica because of some pretty high handed treatment by people at Wolfram and on the web at the newsgroup. I intend to keep order in the...
This fellow has left the egroup. The moderator who clicked through the message without ansering it in the egroup but answering it on the web has been demoted...
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