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

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dc.creatorYamamoto, Shuji
dc.date2006-02-27
dc.date.accessioned2026-07-07T07:03:50Z
dc.date.available2026-07-07T07:03:50Z
dc.descriptionLet 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.
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0602618
dc.identifierhttp://arxiv.org/abs/math/0602618
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109131
dc.subjectNumber Theory
dc.subject11R42 (Primary) 11R11 (Secondary)
dc.titleHecke's integral formula for quadratic extensions of a number field
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