Bill Allombert on Sat, 16 Feb 2019 18:05:02 +0100 |
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Re: Evaluating Multiple Sums in PARI/GP |
On Fri, Feb 15, 2019 at 08:28:37PM +0300, kevin lucas wrote: > I recently ran into problems attempting to formulate a PARI program that > evaluated the expression > > sum(((-1)^(a+b+c))/(a^2 + b^2 + c^2)^s) > > for various complex values of s, with a,b,c running over Z^3/{(0,0,0)}. How > should I attempt this? More generally, how should one set up iterated > alternating sums like these? If, for instance I also wanted the > eight-dimensional version of the above sum, how would I compute it? Is it not some kind of theta function ? Then you could use lfunqf (with Q=matid(8)). Cheers, Bill