International audienceBuilding on Stechkin and Kadiri's ideas we derive an explicit zero-free region of the real axis for Dedekind zeta functions of number fields. We then explain how this new region enables us to improve upon the previously known explicit lower bounds for class numbers of number fields and relative class numbers of CM-fields
Assuming GRH, we prove an explicit upper bound for the number of zeros of a Dedeking zeta function h...
International audienceExplicit bounds on the residues at s=1 of the Dedekind zeta-functions of numbe...
Some brackets in Tables 2-7 became blank spaces in final print.International audienceWe describe in ...
International audienceBuilding on Stechkin and Kadiri's ideas we derive an explicit zero-free region...
International audienceUsing Stechkin's lemma we derive explicit regions of the half complex plane R ...
AbstractWe give explicit upper bounds for residues at s=1 of Dedekind zeta functions of number field...
AbstractErich Hecke first showed that the Dedekind zeta-function for an ideal class in an imaginary ...
International audienceLet K be an algebraic number field. Assume that ζ K (s)/ζ(s) is entire. We giv...
International audienceLet K be an algebraic number field. Assume that ζ K (s)/ζ(s) is entire. We giv...
Assuming GRH, we prove an explicit upper bound for the number of zeros of a Dedekind zeta function h...
This article concerns the zeros of Dedekind zeta functions. We prove bounds for the number of zeros ...
We improve the currently known lower bounds for the discriminant of a number field without assuming ...
We improve the currently known lower bounds for the discriminant of a number field without assuming ...
In a family of S d+1-fields (d = 2, 3, 4), we obtain the conjectured upper and lower bounds of the r...
International audienceExplicit bounds on the residues at s=1 of the Dedekind zeta-functions of numbe...
Assuming GRH, we prove an explicit upper bound for the number of zeros of a Dedeking zeta function h...
International audienceExplicit bounds on the residues at s=1 of the Dedekind zeta-functions of numbe...
Some brackets in Tables 2-7 became blank spaces in final print.International audienceWe describe in ...
International audienceBuilding on Stechkin and Kadiri's ideas we derive an explicit zero-free region...
International audienceUsing Stechkin's lemma we derive explicit regions of the half complex plane R ...
AbstractWe give explicit upper bounds for residues at s=1 of Dedekind zeta functions of number field...
AbstractErich Hecke first showed that the Dedekind zeta-function for an ideal class in an imaginary ...
International audienceLet K be an algebraic number field. Assume that ζ K (s)/ζ(s) is entire. We giv...
International audienceLet K be an algebraic number field. Assume that ζ K (s)/ζ(s) is entire. We giv...
Assuming GRH, we prove an explicit upper bound for the number of zeros of a Dedekind zeta function h...
This article concerns the zeros of Dedekind zeta functions. We prove bounds for the number of zeros ...
We improve the currently known lower bounds for the discriminant of a number field without assuming ...
We improve the currently known lower bounds for the discriminant of a number field without assuming ...
In a family of S d+1-fields (d = 2, 3, 4), we obtain the conjectured upper and lower bounds of the r...
International audienceExplicit bounds on the residues at s=1 of the Dedekind zeta-functions of numbe...
Assuming GRH, we prove an explicit upper bound for the number of zeros of a Dedeking zeta function h...
International audienceExplicit bounds on the residues at s=1 of the Dedekind zeta-functions of numbe...
Some brackets in Tables 2-7 became blank spaces in final print.International audienceWe describe in ...
DOI
Add to ORKG