The Math Forum

Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Math Forum » Discussions » sci.math.* » sci.math

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Zeta exponent 1.40... = pi; 1.48... = e; ultimate meaning of "e" new
name of hyperbolic-pi #76.13 Math-Professor-text 8th ed.: TRUE CALCULUS

Replies: 0  

Advanced Search

Back to Topic List Back to Topic List

Posts: 18,572
Registered: 3/31/08
Zeta exponent 1.40... = pi; 1.48... = e; ultimate meaning of "e" new
name of hyperbolic-pi #76.13 Math-Professor-text 8th ed.: TRUE CALCULUS

Posted: Nov 26, 2013 2:14 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

First off, the value of the Riemann zeta function exponent so that it converges to pi is 1.40... and the value of exponent so that it converges to "e" is 1.48....

Now when the exponent of the Riemann zeta is pi of 3.14.... it converges to 1.17.... and when the exponent is 2.71.... it converges to 1.27.... and when the exponent is phi of 1.61.... it converges to 2.25.... and the exponent of 2 converges to 1.644...

Now notice something special about the arithmetic involved of the zeta exponents and convergence values. If I take the number phi 1.61.... and add it to the exponent of the zeta that equals pi of 1.40.... that I get approx equal to pi. But, keep in mind that these exponent and zeta values are made for numbers far larger than 10^603 whereas in True Math, the numbers stop being mathematics at the borderline of finite with infinite so all these numbers of the zeta need to be adjusted. In True Math none of the zeta functions even those of exponent 1 or smaller are divergent, but rather they are all convergent.

Now in a far earlier post many months ago I wrote that the ultimate meaning of "e" was the pi of Hyperbolic geometry. In Euclidean geometry we take the diameter of a given circle and wrap it around the circumference and that wrap gives us 3.14.... of those diameters. When we do a logarithmic spiral which is in hyperbolic geometry and we take the diameter of the outermost open ended spiral and wrap it around that open ended spiral we end up with not 3.14... of those diameters but rather instead we end up with 2.71.... So the meaning of "e" is that it is the pi of Hyperbolic geometry. And the golden ratio number of phi of 1.61.... is another number that belongs to Hyperbolic geometry.

Now that I have the zetas of pi and "e", let me see if I can work out some analysis trick to prove that a crossover must occur for the zetas at the 10^603 region. If the Pseudosphere with Sphere surface area make a crossover in 10^603, there is no reason that the Riemann zeta and Euler zeta should also make a crossover in 10^603.

Drexel's Math Forum has done an excellent search engine for author posts as seen here:

Now, the only decent search for AP posts on Google Newsgroups, is a search for for it brings up posts that are mostly authored by me and it brings up only about 250 posts. Whereas Drexel brings up nearly 8,000 AP posts. Old Google under Advanced Search
for author, could bring up 20,000 of my authored posts but Google is deteriorating in quality of its searches, likely because AP likes an author search and Google does not want to appear as satisfying to anything that AP likes. If AP likes something, Google is quick to change or alter it.

So the only search engine today doing author searches is Drexel. Spacebanter is starting to do author archive lists. But Google is going in the opposite direction of making author archived posts almost impossible to retrieve.

All the other types of Google searches of AP are just top heavy in hate-spam posts due to search-engine-bombing practices by thousands of hatemongers who have nothing constructive to do in their lives but attack other people.

Now one person claims that Google's deteriorating quality in searches of science newsgroups is all due to "indexing". Well, that is a silly excuse in my opinion, because there is no indexing involved when one simply asks for a author search. No indexing involved if one wants only the pure raw complete list of all posts by a single author. And Google is called the best search engine of our times, yet I have to go to Drexel to see 8,000 of my posts of which I had posted 22,000 to 36,000 posts from 1993 to 2013. It is a shame that Drexel can display 8,000 while Google has a difficult time of displaying 250 of my authored posts. Where the premiere search engine of Google is outclassed by Drexel and even by Spacebanter.

Archimedes Plutonium

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© The Math Forum at NCTM 1994-2018. All Rights Reserved.