Ideal Class Groups of Cyclotomic Fields and Modular Forms of Level 1

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

The relations between the conjecture about the minus part of the ideal class group of the cyclotomic field Q(μp) (which is a consequence of the Vandiver conjecture) and the structures of the Hecke algebra and of the Eisenstein ideal of level 1 modular forms are studied.

Original languageEnglish
Pages (from-to)281-294
Number of pages14
JournalJournal of Number Theory
Volume45
Issue number3
DOIs
Publication statusPublished - 1993 Nov
Externally publishedYes

Fingerprint

Ideal Class Group
Cyclotomic Fields
Modular Forms
Hecke Algebra

ASJC Scopus subject areas

  • Algebra and Number Theory

Cite this

Ideal Class Groups of Cyclotomic Fields and Modular Forms of Level 1. / Kurihara, Masato.

In: Journal of Number Theory, Vol. 45, No. 3, 11.1993, p. 281-294.

Research output: Contribution to journalArticle

@article{fe5314ee19414bef8b2e7ff0eeb2b67f,
title = "Ideal Class Groups of Cyclotomic Fields and Modular Forms of Level 1",
abstract = "The relations between the conjecture about the minus part of the ideal class group of the cyclotomic field Q(μp) (which is a consequence of the Vandiver conjecture) and the structures of the Hecke algebra and of the Eisenstein ideal of level 1 modular forms are studied.",
author = "Masato Kurihara",
year = "1993",
month = "11",
doi = "10.1006/jnth.1993.1078",
language = "English",
volume = "45",
pages = "281--294",
journal = "Journal of Number Theory",
issn = "0022-314X",
publisher = "Academic Press Inc.",
number = "3",

}

TY - JOUR

T1 - Ideal Class Groups of Cyclotomic Fields and Modular Forms of Level 1

AU - Kurihara, Masato

PY - 1993/11

Y1 - 1993/11

N2 - The relations between the conjecture about the minus part of the ideal class group of the cyclotomic field Q(μp) (which is a consequence of the Vandiver conjecture) and the structures of the Hecke algebra and of the Eisenstein ideal of level 1 modular forms are studied.

AB - The relations between the conjecture about the minus part of the ideal class group of the cyclotomic field Q(μp) (which is a consequence of the Vandiver conjecture) and the structures of the Hecke algebra and of the Eisenstein ideal of level 1 modular forms are studied.

UR - http://www.scopus.com/inward/record.url?scp=38249000145&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=38249000145&partnerID=8YFLogxK

U2 - 10.1006/jnth.1993.1078

DO - 10.1006/jnth.1993.1078

M3 - Article

VL - 45

SP - 281

EP - 294

JO - Journal of Number Theory

JF - Journal of Number Theory

SN - 0022-314X

IS - 3

ER -