On Tuesday, 7 March 2017 03:47:04 UTC+5:30, Ben Hutz wrote: > > That would be an interesting project. I personally know little about it, > so would not be able to help formulate a proposal. A couple questions come > to mind that you need to figure out for your proposal. > > 1) Can you actually compute a dynamical zeta function for a specific > function? If so, which ones and how to do you tell? >
I have been reading on zeta functions from some papers and I got to the conclusion that Riemann Zeta function can be implemented and ruelle zeta function can also be worked upon. In the case of Riemann zeta , the zeroes are of high importance and finding the zeta function value for zeroes lying on the Re(s)=1/2 is relevant to the context of dynamic systems. > 1b) Is computing the first few terms a useful approximation to the whole > zeta function? > Prime numbers are of high importance and visualisation of the zeta function can give necessary insights into prime numbers in the complex domain. yes, this cannot be a single large scope for GSoC but this can be clubbed with another idea on the wishlist. I would love your insights if a proposal for Zeta functions can be coupled with the coercion model so that the scope of the work during GSoC stays. > 2) After you figure that out, you can decide if this is large enough scope > for gsoc. > > My guess is the answer to (2) is 'no', so you'll need to find an > additional topic to fill out your proposal. > > -- You received this message because you are subscribed to the Google Groups "sage-gsoc" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at https://groups.google.com/group/sage-gsoc. For more options, visit https://groups.google.com/d/optout.
