Add to ORKGWe prove Brauer-Siegel like results about the asymptotic behavior of relative class numbers of CM-fields
AbstractDirichlet conjectured that for every square-free m>0, there exists f>1 such that the relativ...
International audienceIn this article we extend the main result of F. Amoroso and R. Dvornicich ``A ...
International audienceUsing formulas for quadratic mean values of L-functions at s = 1, we recover p...
In this dissertation, we undertake the study of the class numbers of fields of bounded relative degr...
Kummer's conjecture states that the relative class number of the p-th cyclotomic field follows a str...
International audienceWe explain how one can use the explicit formulas for the mean square values of...
AbstractIt is known that if we assume the Generalized Riemann Hypothesis, then any normal CM-field w...
We study a conjecture of Tsfasman and Vladuts which posits a general version of the Brauer--Siegel t...
AbstractWe give explicit upper bounds for residues at s=1 of Dedekind zeta functions of number field...
Kummer's conjecture predicts the asymptotic growth of the relative class number of $\mathbb Q(\zet...
Let h(-)(p) be the relative class number of the p-th cyclotomic field. We show that log h(-) (p) = p...
A class invariant is a CM value of a modular function that lies in a certain unram-ified class field...
AbstractIn this paper it is shown that the sum of class numbers of orders in complex cubic fields ob...
Let p be an odd prime number, and l a prime number with l ≠ p. Let h_n^− be the relative class numbe...
AbstractAmong abelian extensions of a congruence function field, an asymptotic relation of class num...
AbstractDirichlet conjectured that for every square-free m>0, there exists f>1 such that the relativ...
International audienceIn this article we extend the main result of F. Amoroso and R. Dvornicich ``A ...
International audienceUsing formulas for quadratic mean values of L-functions at s = 1, we recover p...
In this dissertation, we undertake the study of the class numbers of fields of bounded relative degr...
Kummer's conjecture states that the relative class number of the p-th cyclotomic field follows a str...
International audienceWe explain how one can use the explicit formulas for the mean square values of...
AbstractIt is known that if we assume the Generalized Riemann Hypothesis, then any normal CM-field w...
We study a conjecture of Tsfasman and Vladuts which posits a general version of the Brauer--Siegel t...
AbstractWe give explicit upper bounds for residues at s=1 of Dedekind zeta functions of number field...
Kummer's conjecture predicts the asymptotic growth of the relative class number of $\mathbb Q(\zet...
Let h(-)(p) be the relative class number of the p-th cyclotomic field. We show that log h(-) (p) = p...
A class invariant is a CM value of a modular function that lies in a certain unram-ified class field...
AbstractIn this paper it is shown that the sum of class numbers of orders in complex cubic fields ob...
Let p be an odd prime number, and l a prime number with l ≠ p. Let h_n^− be the relative class numbe...
AbstractAmong abelian extensions of a congruence function field, an asymptotic relation of class num...
AbstractDirichlet conjectured that for every square-free m>0, there exists f>1 such that the relativ...
International audienceIn this article we extend the main result of F. Amoroso and R. Dvornicich ``A ...
International audienceUsing formulas for quadratic mean values of L-functions at s = 1, we recover p...