3 problems

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Chabert–Halberstadt's pre-Pólya group conjecture for D4-fields of class number two
Chabert–Halberstadt's conjecture. If $h_K=2$ , then
Conjectureopendihedral-fields number-fields polya-groupsarXiv posted 2 days ago
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Mayer's refinement of Scholz's conjecture for ramified dihedral cubic fields
Mayer's conjecture. Non-Galois totally real cubic fields with these properties should exist in each of the following situations: type $\alpha_1$ with…
Conjectureopenalgebraic-number-theory class-field-theory dihedral-fieldsarXiv posted 2 days ago
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Scholz's conjecture on distinguished dihedral cubic fields
Scholz's conjecture. There should exist such fields $L$ for which either $f=1$ , $\varrho_3(K)=2$ , the complete $3$ -elementary class group of $K$ capitulates in $N$ , and $U_N=U_0$ ,…
Conjectureopenalgebraic-number-theory class-field-theory dihedral-fieldsarXiv posted 2 days ago

Chabert–Halberstadt's pre-Pólya group conjecture for D4-fields of class number two