On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1

Akiko Ito

Acta Arithmetica (2015)

  • Volume: 168, Issue: 4, page 301-339
  • ISSN: 0065-1036

Abstract

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Let p be an odd prime number. We prove the existence of certain infinite families of imaginary quadratic fields in which p splits and for which the Iwasawa λ-invariant of the cyclotomic ℤₚ-extension is equal to 1.

How to cite

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Akiko Ito. "On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1." Acta Arithmetica 168.4 (2015): 301-339. <http://eudml.org/doc/279794>.

@article{AkikoIto2015,
abstract = {Let p be an odd prime number. We prove the existence of certain infinite families of imaginary quadratic fields in which p splits and for which the Iwasawa λ-invariant of the cyclotomic ℤₚ-extension is equal to 1.},
author = {Akiko Ito},
journal = {Acta Arithmetica},
keywords = {imaginary quadratic field; Iwasawa $\lambda $-invariant},
language = {eng},
number = {4},
pages = {301-339},
title = {On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1},
url = {http://eudml.org/doc/279794},
volume = {168},
year = {2015},
}

TY - JOUR
AU - Akiko Ito
TI - On certain infinite families of imaginary quadratic fields whose Iwasawa λ-invariant is equal to 1
JO - Acta Arithmetica
PY - 2015
VL - 168
IS - 4
SP - 301
EP - 339
AB - Let p be an odd prime number. We prove the existence of certain infinite families of imaginary quadratic fields in which p splits and for which the Iwasawa λ-invariant of the cyclotomic ℤₚ-extension is equal to 1.
LA - eng
KW - imaginary quadratic field; Iwasawa $\lambda $-invariant
UR - http://eudml.org/doc/279794
ER -

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