Monogenic dihedral quartic extensions

In this paper, we prove that the number of monogenic dihedral quartic extensions of absolute discriminants ≤ X is of size O ( X 3 4 ( log X ) 3 ) .

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Veröffentlicht in:The Ramanujan journal 2019-11, Vol.50 (2), p.459-464
1. Verfasser: Kim, Henry H.
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description In this paper, we prove that the number of monogenic dihedral quartic extensions of absolute discriminants ≤ X is of size O ( X 3 4 ( log X ) 3 ) .
doi_str_mv 10.1007/s11139-018-0049-0
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subjects Combinatorics
Field Theory and Polynomials
Fourier Analysis
Functions of a Complex Variable
Mathematics
Mathematics and Statistics
Number Theory
title Monogenic dihedral quartic extensions
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