$\ell $-torsion in class groups of certain families of $D_4$-quartic fields

Author:

An Chen

Publisher

Cellule MathDoc/CEDRAM

Reference17 articles.

1. [1] Brumley, Farrell; Thorner, Jesse; Zaman, Asif Zeros of Rankin-Selberg L-functions at the edge of the critical strip (2019) (https://arxiv.org/abs/1804.06402v3)

2. [2] Cohen, Henri; Diaz y Diaz, Francisco; Olivier, Michel Enumerating Quartic Dihedral Extensions of ℚ, Compos. Math., Volume 133 (2002) no. 1, pp. 65-93

3. [3] Ellenberg, Jordan S.; Pierce, Lillian B.; Matchett Wood, Melanie On ℓ-torsion in class groups of number fields, Algebra Number Theory, Volume 11 (2017) no. 8, pp. 1739-1778

4. [4] Ellenberg, Jordan S.; Venkatesh, Akshay Reflection principles and bounds for class group torsion, Int. Math. Res. Not., Volume 2007 (2007) no. 1, rnm002, 18 pages

5. [5] Frei, Christopher; Widmer, Martin Average bounds for the ℓ-torsion in class groups of cyclic extensions, Res. Number Theory, Volume 4 (2018) no. 3, 34, 25 pages

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