Improved error estimates for the Davenport-Heilbronn theorems (Q6583552)

scientific article; zbMATH DE number 7892671

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English	Improved error estimates for the Davenport-Heilbronn theorems	scientific article; zbMATH DE number 7892671

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instance of

scholarly article

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title

Improved error estimates for the Davenport-Heilbronn theorems (English)

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Mathematische Annalen

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publication date

6 August 2024

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MaRDI profile type

Publication

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cites work

Error estimates for the Davenport-Heilbronn theorems

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A fast algorithm to compute cubic fields

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DISCRIMINANTS CUBIQUES ET PROGRESSIONS ARITHMÉTIQUES

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The density of discriminants of $S_3$-sextic number fields

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Omega results for cubic field counts via lower-order terms in the one-level density

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Autocorrelation of ratios of $L$-functions

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Low lying zeros of Artin $L$-functions

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Functional equations with multiple gamma factors and the average order of arithmetical functions

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The Density of Abelian Cubic Fields

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On the density of discriminants of cubic fields. II

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The adelic zeta function associated to the space of binary cubic forms. II: Local theory.

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Density of discriminants of cubic extensions.

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On $\ell$-torsion in class groups of number fields

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Fourier coefficients of modular forms on $G_2$.

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Some asymptotic expressions in the theory of numbers.

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Q5793397

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Subconvexity of Shintani’s zeta function

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Equidistribution of bounded torsion CM points

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The shape of cubic fields

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Q4830109

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Über die Anzahl der Gitterpunkte in gewissen Bereichen.

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Über die Anzahl der Gitterpunkte in gewissen Bereichen. II.

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Uniform bounds for lattice point counting and partial sums of zeta functions

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Cubic number fields and cubic form classes

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Statistics of genus numbers of cubic fields

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On the relations among the class numbers of binary cubic forms

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On a remarkable identity in class numbers of cubic rings

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A conjecture on coincidence among the zeta functions associated with the space of binary cubic forms

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Density of cubic field discriminants

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Automorphic forms and geometry of arithmetic varieties

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On Dirichlet series whose coefficients are class numbers of integral binary cubic forms

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On zeta functions associated with prehomogeneous vector spaces

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SATO–TATE EQUIDISTRIBUTION OF CERTAIN FAMILIES OF ARTIN -FUNCTIONS

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Counting $S_5$-fields with a power saving error term

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Orbital $L$-functions for the space of binary cubic forms

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Secondary terms in counting functions for cubic fields

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An error estimate for counting S<sub>3</sub>-sextic number fields

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Orbital exponential sums for prehomogeneous vector spaces

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The adèlic zeta function associated to the space of binary cubic forms. I: Global theory

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Identifiers

Mathematics Subject Classification ID

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10.1007/S00208-023-02684-W

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Sitelinks

Mathematics(1 entry)

mardi Publication:6583552