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math.NT2008
On Shintani's ray class invariant for totally real number fields
Shuji Yamamoto
We introduce a ray class invariant for a totally real field, following Shintani's work in the real quadratic case. We prove a factorization formula where each…
math.NT2006
Hecke's integral formula for quadratic extensions of a number field
Shuji Yamamoto
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 c…
math.NT2006
On Kronecker limit formulas for real quadratic fields
Shuji Yamamoto
Let be the partial zeta function attached to a ray class C of a real quadratic field. We study this zeta function at s=1 and s=0, combining some ideas and methods due to Z…