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Monogenic dihedral quartic extensions

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Abstract

In this paper, we prove that the number of monogenic dihedral quartic extensions of absolute discriminants \(\le X\) is of size \(O(X^{\frac{3}{4}}(\log X)^3)\).

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Acknowledgements

We thank the referee for pointing out an error in the previous version.

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Correspondence to Henry H. Kim.

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This study was partially supported by an NSERC grant #482564.

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Kim, H.H. Monogenic dihedral quartic extensions. Ramanujan J 50, 459–464 (2019). https://doi.org/10.1007/s11139-018-0049-0

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  • DOI: https://doi.org/10.1007/s11139-018-0049-0

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