Hecke's integral formula for quadratic extensions of a number field

Details Hecke's integral formula for quadratic extensions of a number field Hecke's integral formula for quadratic extensions of a number field

2006-02-27

arxiv.org/abs/math/0602618v1

Mathematics

Number Theory

16 pages

Scientific paper

Let K/F be a quadratic extension of number fields. After developing a theory
of the Eisenstein series over F, we prove a formula which expresses a partial
zeta function of K as a certain integral of the Eisenstein series. As an
application, we obtain a limit formula of Kronecker's type which relates the
0-th Laurent coefficients at s=1 of zeta functions of K and F.

Affiliated with

Also associated with

No associations

Rating

Hecke's integral formula for quadratic extensions of a number field does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Hecke's integral formula for quadratic extensions of a number field, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hecke's integral formula for quadratic extensions of a number field will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-485894