|Bill Allombert on Sat, 24 Oct 2015 14:27:35 +0200|
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|Re: GP interface for computing Artin L functions|
On Thu, Oct 22, 2015 at 06:03:41PM +0200, Xavier Roblot wrote: > > Does such L functions satisfy a functional equation compatible with the lfun > > interface ? > > Well, I am not sure about that. But, usually, the way to do it is to compute > the value of the primitive L-function and then multiply it by the right > factor that is relatively easy to compute. In fact, I think I could even > probably write the corresponding code if I have your blessing ;) The issue is that the lfun interface only handles L functions with standard functional equation. lfunartin only returns a ldata structure and does not compute values by itself. There is no provision in a ldata structure to handle function with missing Euler factors. However you can use the private function artin_badprimes to get the list of Euler factor for bad primes and the functions dirartin for good primes. Cheers, Bill.