English

On certain infinite families of imaginary quadratic fields whose Iwasawa {\lambda}-invariant is equal to 1

Number Theory 2012-12-07 v1

Abstract

Let p be an odd prime number. In this paper, we show existence of certain infinite families of imaginary quadratic fields in which p splits and whose Iwasawa {\lambda}-invariant of the cyclotomic Zp-extension is equal to 1.

Keywords

Cite

@article{arxiv.1212.1392,
  title  = {On certain infinite families of imaginary quadratic fields whose Iwasawa {\lambda}-invariant is equal to 1},
  author = {Akiko Ito},
  journal= {arXiv preprint arXiv:1212.1392},
  year   = {2012}
}

Comments

51 pages