Message Boards Message Boards

0
|
3917 Views
|
4 Replies
|
1 Total Likes
View groups...
Share
Share this post:

Summing infinite series causes Mathematica to stop running

Peter Kacensky, At home
Posted 4 years ago

I am summing very large reciprocal power series containing up to 200 individual terms with coefficients that are up to 60 digits (1X10^60) . All are summed from 1 to infinity and have 1st, 2nd and 3rd degree terms. My last summation ran for 5 hours and then just stopped running. I am at a loss why Mathematica could sum my penultimate equations but not the last one, which is slightly larger in that it contains a few more terms with coefficients approximately two orders of magnitude larger.
POSTED BY: Peter Kacensky
4 Replies
Sort By:

With numerics can we solve this sum.

Regards M.I.

Attachments:
Reciprocal Equat...nb
POSTED BY: Mariusz Iwaniuk

No one will be able to help you unless you post your Mathematica code with your question. Please read the rules: http://wolfr.am/READ-1ST
POSTED BY: Moderation Team

Here is the file.

Attachments:
Reciprocal Equat...nb
POSTED BY: Peter Kacensky

Hi Mariusz:

Thank you for your reply. I really appreciate it.

I know the numerical equivalent. What I am attempting is to have it expressed in the form of a/b(Zeta[3]) +c\d(Log[2]) -d/e, which is what this decimal form is equal to. I have designed these infinite series because of this property. This particular equation is the 20th out of a family of equations that is infinite in number. All of the solutions are of this form.

Pete
POSTED BY: Peter Kacensky
Reply to this discussion
Community posts can be styled and formatted using the Markdown syntax.
Tag limit exceeded
Note: Only the first five people you tag will receive an email notification; the other tagged names will appear as links to their profiles.
Reply Preview
Attachments
Remove
or Discard

Group Abstract Group Abstract