article published Jürgen Klüners author 21202 Toru Komatsu author 102 department In this paper we obtain a complete list of imaginary n-quadratic fields with class groups of exponent 3 and 5 under ERH for every positive integer n where an n-quadratic field is a number field of degree 2ⁿ represented as the composite of n quadratic fields. American Mathematical Society (AMS)2021 eng Applied MathematicsComputational MathematicsAlgebra and Number Theory 0025-5718 1088-6842 2004.03308v210.1090/mcom/3609 903291483-1497 J. Klüners and T. Komatsu, “Imaginary multiquadratic number fields with class group of exponent $3$ and $5$,” <i>Mathematics of Computation</i>, vol. 90, no. 329, pp. 1483–1497, 2021, doi: <a href="https://doi.org/10.1090/mcom/3609">10.1090/mcom/3609</a>. Klüners, J., &#38; Komatsu, T. (2021). Imaginary multiquadratic number fields with class group of exponent $3$ and $5$. <i>Mathematics of Computation</i>, <i>90</i>(329), 1483–1497. <a href="https://doi.org/10.1090/mcom/3609">https://doi.org/10.1090/mcom/3609</a> Klüners, Jürgen, and Toru Komatsu. “Imaginary Multiquadratic Number Fields with Class Group of Exponent $3$ and $5$.” <i>Mathematics of Computation</i> 90, no. 329 (2021): 1483–97. <a href="https://doi.org/10.1090/mcom/3609">https://doi.org/10.1090/mcom/3609</a>. J. Klüners, T. Komatsu, Mathematics of Computation 90 (2021) 1483–1497. Klüners, Jürgen, and Toru Komatsu. “Imaginary Multiquadratic Number Fields with Class Group of Exponent $3$ and $5$.” <i>Mathematics of Computation</i>, vol. 90, no. 329, American Mathematical Society (AMS), 2021, pp. 1483–97, doi:<a href="https://doi.org/10.1090/mcom/3609">10.1090/mcom/3609</a>. @article{Klüners_Komatsu_2021, title={Imaginary multiquadratic number fields with class group of exponent $3$ and $5$}, volume={90}, DOI={<a href="https://doi.org/10.1090/mcom/3609">10.1090/mcom/3609</a>}, number={329}, journal={Mathematics of Computation}, publisher={American Mathematical Society (AMS)}, author={Klüners, Jürgen and Komatsu, Toru}, year={2021}, pages={1483–1497} } Klüners J, Komatsu T. Imaginary multiquadratic number fields with class group of exponent $3$ and $5$. <i>Mathematics of Computation</i>. 2021;90(329):1483-1497. doi:<a href="https://doi.org/10.1090/mcom/3609">10.1090/mcom/3609</a> 348402022-12-22T10:48:44Z2023-03-06T08:57:45Z