I have seen two versions of this proof: first: There exists a positive constant k such thatfor each x there exists one prime between x and x+k*x^(5/8). Second:...
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Roger Lee Bagula
tftn@...
Oct 11, 2001 4:13 pm
Abstract: Experiments using Batrachian sequences suggested a fractal nature to the prime sequence that had a breaking wave effect. In this short article a...
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Roger Lee Bagula
rlbagulatftn
Oct 12, 2001 4:07 pm
What I have been working on: When I was younger I would have wrote up this work. Here are the sequences that I made up ( a sequence of sequence that...
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Roger Lee Bagula
tftn@...
Oct 13, 2001 7:05 pm
Dear Gary, I'd like to ask you to join this new group: http://groups.yahoo.com/group/truenumber I started it because Dennis Kluk ( mathemagician@...) ...
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Roger Lee Bagula
tftn@...
Oct 14, 2001 4:51 pm
Dear Dick Boland, I'd like to thank you for your long email. I have just started a new number theory egroup that I invite you to join as well: ...
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Roger Lee Bagula
tftn@...
Oct 14, 2001 6:37 pm
This is a topic urged on me by Gary Adamson and Dr. Matthew Watkins. Riemann said that there are these roots: z(j)=1/2+i*g(j) where the g(i) are an irrational...
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Roger Lee Bagula
rlbagulatftn
Oct 16, 2001 4:02 pm
We have three new members. Gary Adamson is the moderator and I am the owner. Gary has been writing articles about Feray numbers, silver and copper means and...
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Roger Lee Bagula
rlbagulatftn
Oct 16, 2001 4:28 pm
Dear Gary, I put up several of my recent prime number articles as files that new members get when they join. I have been working on the zeta function as...
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Roger Lee Bagula
rlbagulatftn
Oct 16, 2001 4:58 pm
Dear Dr. Matthew Watkins, And I suggest that you learn some functional theory: Mapping a real integer function to a complex irrational function , even if they...
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Gary Adamson
kalidharma
Oct 17, 2001 1:13 am
... I don't know the direct connection between primes and the zeros but am taking it for granted that when David Hilbert says there's an isomorph between the...
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Gary Adamson
kalidharma
Oct 17, 2001 1:47 am
... good...For the time being my contributions will be sparse since I'm basically interested in only one question: the mysterious relationship between primes ...
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Dick Boland
richard042
Oct 17, 2001 7:10 am
Hello Gary, I share your area of interest, primes/physics connection, but please keep in mind that I have a layman's education. I am self-teaching myself ...
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Gary Adamson
kalidharma
Oct 17, 2001 7:23 am
... connection directly between Planck's constant and prime numbers via the Infinite Farey Tree; and this connection has been made possible by Dr. William G. ...
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Dick Boland
richard042
Oct 17, 2001 4:07 pm
Thanks Gary, So I need to read Watkins, Farey and Harter. Do you have Watkins web site address or any other web or library references? ... Or that there are...
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Dick Boland
richard042
Oct 17, 2001 4:08 pm
Hello, I will try my best to communicate what I know from years of recreational research with pencil and paper (mostly), starting with a revision of an...
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Roger Lee Bagula
rlbagulatftn
Oct 17, 2001 4:32 pm
Dear Gary, I'm glad we have got this going and have other people adding to the ongoing conversation. Remember your ? Sum[ 1/i^i,{i,1,infinity}]=1.29 Well I got...
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Roger Lee Bagula
rlbagulatftn
Oct 17, 2001 5:43 pm
Dear Gary, I'm keeping at the prime stuff and came up with a Bonacci for a truncated Taylor series: ...
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Roger Lee Bagula
rlbagulatftn
Oct 17, 2001 8:28 pm
The third derivative levels doesn't work at all, but the forth level gives somewhat prime like numbers: 1.2,3,5,7,11,15,18,22,25,28,30, 33,34,36, 37, 39,40,41,...
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Gary Adamson
kalidharma
Oct 18, 2001 1:08 am
... www.maths.ex.ac.uk/~mwatkins/zeta/tutorial.htm or alternatively, enter "Riemann Zeta Function" into Google and the Watkins site is the 6th or 7th from the ...
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Roger Lee Bagula
rlbagulatftn
Oct 19, 2001 4:20 pm
Dear Ado, I did a Bonacci truncated Taylor series for the primes that comes out a lot like this. After p^4 (x) as a Pascal/ binomial it gets really long. It...
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Roger Lee Bagula
rlbagulatftn
Oct 19, 2001 5:40 pm
Dear Dr. Matthew Watkins, I have been looking at the Jahnke and Emde " Table of Functions" pages 270-272 plot of the zeta function for over 25 years now since...
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Roger Lee Bagula
rlbagulatftn
Oct 19, 2001 8:00 pm
An Introduction to Analytic Number Theory Ilan Vardi IHES, Bures-sur-Yvette December 14, 1998 Summary by Cyril Banderier and Ilan Vardi ...
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Roger Lee Bagula
rlbagulatftn
Oct 19, 2001 8:13 pm
I haven't read this paper yet, but it looks pretty good as a starting place: http://www.research.att.com/~amo/doc/arch/fast.zeta.eval.ps Fast algorithms for...
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Roger Lee Bagula
rlbagulatftn
Oct 19, 2001 8:34 pm
http://pauillac.inria.fr/algo/bsolve/constant/glshkn/gue.html Respectfully, Roger L. Bagula tftn@..., 11759Waterhill Road, Lakeside,Ca...
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Gary Adamson
kalidharma
Oct 19, 2001 9:25 pm
... How about Lucas numbers? Thanks, Gary ... http://www.geocities.com/ResearchTriangle/Thinktank/7279/ ... __________________________________________________...
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Roger Lee Bagula
rlbagulatftn
Oct 20, 2001 12:34 am
Dear Dr. Watkins, I worked up an approximate zeta zeros starting with 18 seed values. What I realized is that the g(i) part is both irrational and chaotic, so ...
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Roger Lee Bagula
rlbagulatftn
Oct 20, 2001 1:12 am
Dear Gary, Remember my "carry function"? Integer parts of real numbers... For some real number x: z=f(x)=mod(x,1)+i*Int(x) : for mod(x,1)=x-Int(x) z=a+i*b ...
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kalidharma@...
kalidharma
Oct 20, 2001 6:36 am
... out how Riemann calculated the first few zeros by hand. Also, I find the gamma function intimidating....Gary...
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Roger Lee Bagula
rlbagulatftn
Oct 20, 2001 8:30 pm
Dear Gary, I found this remarkable relationship: The functions: (f,g)=(log(P(x)),angle(x,P(x))) when plotted at the right magnification give a kind of devil's...
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Roger Lee Bagula
rlbagulatftn
Oct 20, 2001 9:15 pm
Dear Ado, A lot of work has been done on Primes like: p(y)=f(x)+1 Like function of the sort: a*x+1 a*x^2+1 x!+1 The Ingham type power function is one of the...
