Lower bounds for the height and size of the ideal class group in CM-fields

DOI10.1007/s00605-002-0499-7zbMath1040.11077OpenAlexW2052189571MaRDI QIDQ1871769

Francesco Amoroso, Roberto Dvornicich

Publication date: 4 May 2003

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-002-0499-7

zbMATH Keywords

generalized Riemann hypothesisdiscriminantlogarithmic heightCM-fieldsexponent of ideal class group

Mathematics Subject Classification ID

Other number fields (11R21) Class numbers, class groups, discriminants (11R29)

Related Items (8)

ON TORSION OF CLASS GROUPS OF CM TORI ⋮ Small points on a multiplicative group and class number problem ⋮ Averages and higher moments for the \(\ell\)-torsion in class groups ⋮ UNE MINORATION POUR L'EXPOSANT DU GROUPE DES CLASSES D'UN CORPS ENGENDRÉ PAR UN NOMBRE DE SALEM ⋮ Tame Galois module structure revisited ⋮ Nombre de classes des tores de multiplication complexe et bornes inférieures pour les orbites Galoisiennes de points spéciaux ⋮ The imaginary abelian number fields of $2$-power degrees with ideal class groups of exponent $≤2$ ⋮ A remark on the annihilator of the ideal class group.

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