Class groups of imaginary quadratic fields of $3$-rank at least $2$

Kalyan Chakraborty; Azizul Hoque

Class groups of imaginary quadratic fields of $3$-rank at least $2$

Number Theory 2018-03-13 v2

Authors: Kalyan Chakraborty , Azizul Hoque

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Abstract

We produce an infinite family of imaginary quadratic fields whose ideal class groups have $3$ -rank at least $2$ .

Keywords

imaginary quadratic fields ideal class groups 3-rank infinite family algebraic number theory

Cite

@article{arxiv.1802.07919,
  title  = {Class groups of imaginary quadratic fields of $3$-rank at least $2$},
  author = {Kalyan Chakraborty and Azizul Hoque},
  journal= {arXiv preprint arXiv:1802.07919},
  year   = {2018}
}

Comments

To appear in the special issue of the Ann. Univ. Sci. Budapest. Sect. Comput. in honor of the 80-th birthday of Professors Zolt\'an Dar\'oczy and Imre K\'atai, the 75-th birthday of Professor Karl-Heinz Indlekofer, the 70-th birthday of Professors Jean-Marie De Koninck and Gyula Maksa, and the 65-th birthday of Professor Bui Minh Phong

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