Relations among dirichlet series whose coefficients are class numbers of binary cubic forms

Yasuo Ohno, Takashi Taniguchi, Satoshi Wakatsuki

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We study the zeta functions for the space of binary cubic forms introduced by Shintani. The zeta function is defined for each invariant lattice. We classify the invariant lattices, and investigate explicit relationships between the zeta functions associated with those lattices. We also study the analytic properties of the zeta functions, and rewrite Shintani's functional equation in a self dual form using an explicit relation.

Original languageEnglish
Pages (from-to)1525-1541
Number of pages17
JournalAmerican Journal of Mathematics
Volume131
Issue number6
DOIs
Publication statusPublished - 2009 Dec
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

Fingerprint Dive into the research topics of 'Relations among dirichlet series whose coefficients are class numbers of binary cubic forms'. Together they form a unique fingerprint.

Cite this