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Some improvements on the Davenport-Heilbronn method

Journal of Number Theory
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +4 more sources

Improved error estimates for the Davenport–Heilbronn theorems [PDF]

open access: yesMathematische Annalen, 2023
We improve the error terms in the Davenport-Heilbronn theorems on counting cubic fields to $O(X^{2/3 + \epsilon})$. This improves on separate and independent results of the authors and Shankar and Tsimerman.
Frank Thorne, Manjul Bhargava
exaly   +2 more sources

On the Davenport–Heilbronn theorems and second order terms

open access: yesInventiones Mathematicae, 2012
We give simple proofs of the Davenport–Heilbronn theorems, which provide the main terms in the asymptotics for the number of cubic fields having bounded discriminant and for the number of 3-torsion elements in the class groups of quadratic fields having ...
Arul Shankar, Manjul Bhargava
exaly   +2 more sources

Some Diophantine equations and inequalities with primes

Functiones Et Approximatio, Commentarii Mathematici, 2021

exaly  

Error estimates for the Davenport-Heilbronn theorems

Duke Mathematical Journal, 2010
Carl Pomerance   +2 more
exaly  

Error analysis of Davenport’s q method

Automatica, 2017
Tianhe Xu, Guobin Chang
exaly  

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