My Math Forum help with determining a pair of sequences

 Number Theory Number Theory Math Forum

May 10th, 2017, 07:57 AM   #1
Banned Camp

Joined: Apr 2016
From: Australia

Posts: 244
Thanks: 29

Math Focus: horses,cash me outside how bow dah, trash doves
help with determining a pair of sequences

Hi I have been working on this for a while and haven't quite figured out yet what the sequences n,m are and was hoping for some assistance if anyone has studied this one before.

*that was meant to be n,m are elements of Q rather than Z*
Attached Images
 HORSEMAN2017.jpg (81.7 KB, 21 views)

Last edited by Adam Ledger; May 10th, 2017 at 08:23 AM. Reason: correction

 May 10th, 2017, 05:21 PM #2 Senior Member   Joined: Feb 2016 From: Australia Posts: 1,597 Thanks: 546 Math Focus: Yet to find out. Nice way to credit the founder.. Actually... is he even real.. i can't find anything on him xD. Thanks from Adam Ledger Last edited by Joppy; May 10th, 2017 at 05:35 PM.
 May 10th, 2017, 08:46 PM #3 Banned Camp   Joined: Apr 2016 From: Australia Posts: 244 Thanks: 29 Math Focus: horses,cash me outside how bow dah, trash doves All horseplay aside as a side remark all m are strictly integers, and n should really be denoted q to represent its membership to Q. It definitely has a simple expression for the kth term for n(j,k) the main issue with using the form I have chosen will be finding such an expression for the integer powers of each zeta(2j+1) cofactor in each of the P(N) summands. But naturally I choose this form just out of the sheer curiosity of having noted the fact that the total number of summands turns out to be the number palindromic partitions of N. What I want to establish is whether this is a consequence of performing the asymptotic series expansion for any expression in general, or this fact is intimately connected to this particular complex function. as per usual its given me more reading to do that id like. actually hate reading tbh.
May 10th, 2017, 09:14 PM   #4
Banned Camp

Joined: Apr 2016
From: Australia

Posts: 244
Thanks: 29

Math Focus: horses,cash me outside how bow dah, trash doves
typical evaluation (here N=20)

as attached another point of interest is that the final (or initial depends how we skin the cat really) summand in the series is always an element of Z.
Attached Images
 HORSEMAN2017001.jpg (113.8 KB, 3 views)

May 10th, 2017, 09:58 PM   #5
Senior Member

Joined: Sep 2015
From: USA

Posts: 1,981
Thanks: 1027

Quote:
 Originally Posted by Joppy Nice way to credit the founder.. Actually... is he even real.. i can't find anything on him xD.
seems a little unlikely the Online ... anything.. was founded in 1964

 May 19th, 2017, 02:17 AM #6 Banned Camp   Joined: Apr 2016 From: Australia Posts: 244 Thanks: 29 Math Focus: horses,cash me outside how bow dah, trash doves seems a tad strange yes if I don't say so neil
May 19th, 2017, 02:24 AM   #7
Banned Camp

Joined: Apr 2016
From: Australia

Posts: 244
Thanks: 29

Math Focus: horses,cash me outside how bow dah, trash doves
just further material for those sincerely interested

this a more appropriate selection of F(z) to show that the relationship to the number P(N) in the expression involving zeta is more related to the algebra of an asymptotic series expansion rather than the specific function itself I originally prescribed
Attached Images
 HORSEMAN2018.jpg (82.1 KB, 4 views)

June 13th, 2017, 09:46 AM   #8
Banned Camp

Joined: Apr 2016
From: Australia

Posts: 244
Thanks: 29

Math Focus: horses,cash me outside how bow dah, trash doves
another related figureAttachment 8931 the approximation sign can be replaced with an equality sign on the condition that only z values which are roots of the gamma function are specified as domain
Attached Images
 Capture.JPG (27.8 KB, 1 views)

Last edited by Adam Ledger; June 13th, 2017 at 09:50 AM.

 June 13th, 2017, 10:04 AM #9 Banned Camp   Joined: Apr 2016 From: Australia Posts: 244 Thanks: 29 Math Focus: horses,cash me outside how bow dah, trash doves so basically I look at this area of mathematics as a 2d color coded "spider web" map ( its just such a very simplifying format for getting a grasp of a functional relationship involving this number of elementary functions), and ive placed the above approximation somewhat centrally.

 Tags determining, pair, sequences

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post Devil#20 Linear Algebra 3 January 28th, 2016 08:02 PM Denis New Users 0 May 7th, 2013 12:58 PM razzatazz Real Analysis 2 April 9th, 2013 03:24 PM stuart clark Algebra 2 March 29th, 2011 01:03 PM cindyyo Algebra 2 August 20th, 2008 02:40 AM

 Contact - Home - Forums - Cryptocurrency Forum - Top