Automorphic forms on GL(2) and the rank of class groups

DOI10.1515/crll.1999.075zbMath1005.11059OpenAlexW1998165063MaRDI QIDQ4704539

Siman Wong

Publication date: 5 December 2001

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/crll.1999.075

zbMATH Keywords

conductoridentitiesGalois groupFourier coefficientsclass groupAbelian cubic fieldestimates of the 2-rankindex of minimal lifts of projective representationsnondihedral automorphic formsnumber of quartic and quintic fields

Mathematics Subject Classification ID

Galois theory (11R32) Fourier coefficients of automorphic forms (11F30) Class numbers, class groups, discriminants (11R29) Representation-theoretic methods; automorphic representations over local and global fields (11F70)

Related Items (6)

On the average number of octahedral newforms of prime level ⋮ On \(\ell\)-torsion in class groups of number fields ⋮ Bounds on 2-torsion in class groups of number fields and integral points on elliptic curves ⋮ Error estimates for the Davenport-Heilbronn theorems ⋮ An effective Chebotarev density theorem for families of number fields, with an application to \(\ell \)-torsion in class groups ⋮ Integral points on elliptic curves and 3-torsion in class groups

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