Discriminants of number fields

Cites Work

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Upper bounds of root discriminant lower bounds
Finiteness theorems for discrete subgroups of bounded covolume in semi- simple groups
A non-solvable Galois extension of $\mathbb Q$ ramified at 2 only
A complement to the note by Lassina Dembélé ``A non-solvable Galois extension of $\mathbb Q$ ramified at 2 only
Ideale kleiner Norm in Idealklassen und eine Regulatorabschätzung
Lower bounds for discriminants of number fields. II
Relative regulators of number fields
Some effective cases of the Brauer-Siegel theorem
Zeros of families of automorphic $L$-functions close to 1.
Infinite class field towers of number fields of prime power discriminant
On small discriminants of number fields of degree 8 and 9
An effective Chebotarev density theorem for families of number fields, with an application to $\ell $-torsion in class groups
On volumes of quasi-arithmetic hyperbolic lattices
Asymptotically efficient lattice-based digital signatures
Generalized compact knapsacks, cyclic lattices, and efficient one-way functions
Number fields with solvable Galois groups and small Galois root discriminants
SWIFFT: A Modest Proposal for FFT Hashing
Generalized Compact Knapsacks Are Collision Resistant
Formes modulaires de poids $1$
The analytic theory of algebraic numbers
Minorations de discriminants [d’après A. M. Odlyzko]
Lower bounds for discriminants of number fields
Streaming Authenticated Data Structures
An improvement on Schmidt’s bound on the number of number fields of bounded discriminant and small degree
Worst‐Case to Average‐Case Reductions Based on Gaussian Measures
An Introduction to Mathematical Cryptography
Bounds for discriminants and related estimates for class numbers, regulators and zeros of zeta functions : a survey of recent results
On the Zeta-Functions of Algebraic Number Fields
On Malle’s conjecture for nilpotent groups
Theory of Cryptography
Some analytic estimates of class numbers and discriminants

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