Hecke's integral formula for relative quadratic extensions of algebraic number fields

Shuji Yamamoto

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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 if 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.

Original languageEnglish
Pages (from-to)139-154
Number of pages16
JournalNagoya Mathematical Journal
Volume189
Publication statusPublished - 2008
Externally publishedYes

Fingerprint

Algebraic number Field
Eisenstein Series
Integral Formula
Riemann zeta function
Number field
Express
Partial
Coefficient

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Hecke's integral formula for relative quadratic extensions of algebraic number fields. / Yamamoto, Shuji.

In: Nagoya Mathematical Journal, Vol. 189, 2008, p. 139-154.

Research output: Contribution to journalArticle

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