FAQFAQ   SearchSearch   MemberlistMemberlist   UsergroupsUsergroups 
 ProfileProfile   PreferencesPreferences   Log in to check your private messagesLog in to check your private messages   Log inLog in 
Forum index » Science and Technology » Math
Curious properties of j-function formulas
Post new topic   Reply to topic Page 1 of 1 [1 Post] View previous topic :: View next topic
Author Message
Titus Piezas III
science forum Guru Wannabe


Joined: 10 Mar 2005
Posts: 102

PostPosted: Thu Jun 15, 2006 9:28 am    Post subject: Curious properties of j-function formulas Reply with quote

Hello all,

The approximation,

e^(Pi*Sqrt[163]) = 640302^3 + 743.99999999999925...

is well known, with -640320^3 an exact value of the j-function j(tau).
This function turns out to have defining formulas that are also
interesting. If expressed in the form j(tau) = f(x)/g(x) for some
polynomials in terms of a function x, and defining the expression

S = -Numerator + 1728Denominator

then S is a square or a near-square. The question is Why? Details at,

www.geocities.com/titus_piezas/ramanujan_page17.html

(Contains only a pdf file.)

--Titus
Back to top
Google

Back to top
Display posts from previous:   
Post new topic   Reply to topic Page 1 of 1 [1 Post] View previous topic :: View next topic
The time now is Sun Aug 19, 2018 10:03 am | All times are GMT
Forum index » Science and Technology » Math
Jump to:  

Similar Topics
Topic Author Forum Replies Last Post
No new posts Generating function for Mathieu functions cosmicstring@gmail.com Math 1 Fri Jul 21, 2006 8:39 am
No new posts Choice function over finite sets Peter Webb Math 5 Fri Jul 21, 2006 3:28 am
No new posts Function from Taylor series? Nathan Urban Research 1 Thu Jul 20, 2006 12:48 am
No new posts Function not in L_1 {[0,1]}, but satisfies ...? atkrunner@hotmail.com Math 12 Thu Jul 20, 2006 12:46 am
No new posts Incomplete Beta function Georg Wenig num-analysis 3 Mon Jul 17, 2006 9:37 am

Copyright © 2004-2005 DeniX Solutions SRL
Other DeniX Solutions sites: Electronics forum |  Medicine forum |  Unix/Linux blog |  Unix/Linux documentation |  Unix/Linux forums  |  send newsletters
 


Powered by phpBB © 2001, 2005 phpBB Group
[ Time: 0.0119s ][ Queries: 16 (0.0028s) ][ GZIP on - Debug on ]