Parameterized families of quadratic fields with $n$-rank at least 2

Azizul Hoque; Srinivas Kotyada

doi:10.1007/978-981-97-6911-7_9

Parameterized families of quadratic fields with $n$-rank at least 2

Number Theory 2024-12-31 v1

Authors: Azizul Hoque , Srinivas Kotyada

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Abstract

We construct parameterized families of imaginary (resp. real) quadratic fields whose class groups have $n$ -rank at least $2$ .

Keywords

quadratic fields class group n-rank parameterized families imaginary quadratic field

Cite

@article{arxiv.2412.20080,
  title  = {Parameterized families of quadratic fields with $n$-rank at least 2},
  author = {Azizul Hoque and Srinivas Kotyada},
  journal= {arXiv preprint arXiv:2412.20080},
  year   = {2024}
}

Comments

7 pages. Published in `Class Groups of Number Fields and Related Topics', Springer Proceedings in Mathematics & Statistics, vol 470, Springer, Singapore

Parameterized families of quadratic fields with $n$-rank at least 2

Abstract

Keywords

Cite

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