Re: zetap

[sou nonyma <sounonyma@gmail.com>]

i think i tell ou the wrong function
i want to find the kubota leopold zeta function , but if i apply the formula of L function to the trivial character,
i find that it equals the hurwitz zeta function at x=0
but in the definition of the hurwitz zeta function a x^(-j) appear so i get a division by zero

thanks for your quick reply

2012/5/14 Bill Allombert <Bill.Allombert@math.u-bordeaux1.fr>

On Sat, May 12, 2012 at 07:49:02PM +0200, sou nonyma wrote:
> first thank you
> can you be more specific concerning the book "Number Theory: analytic &
> modern tools" :
> the chapter 11 contain 150 pages so it is a little dificult to find the one
> formula you finelly use.

As far as I understand, this is in Section 11.3 p-adic L functions,
Definition 11.3.4, page 301, except that we make use of the reflection
formula (11.2.9(4) page 286) to sum only half the number of terms,
the Hurwitz zeta function being computed using Definition 11.2.5 page 283
(the rightmost form).

Cheers,
Bill