International audienceUsing formulas for quadratic mean values of L-functions at s = 1, we recover previously known explicit upper bounds on relative class numbers of cyclotomic fields. We also obtain new better bounds
AbstractLet k be a rational function field over a finite field. Carlitz and Hayes have described a f...
AbstractThe purpose of this paper is to study the p-rank of the Jacobian of cyclotomic function fiel...
AbstractWe obtain, for quadratic and cyclotimic fields, asymptotic formulas for two arithmetic funct...
International audienceUsing formulas for quadratic mean values of L-functions at s = 1, we recover p...
International audienceWe explain how one can use the explicit formulas for the mean square values of...
International audienceWe explain how one can use the explicit formulas for the mean square values of...
International audienceExplicit formulas for the quadratic mean value at s = 1 of the Dirichlet L-fun...
Abstract. In the previous paper [8], the author gave a determinant for-mula of relative zeta functio...
Let h(-)(p) be the relative class number of the p-th cyclotomic field. We show that log h(-) (p) = p...
Class groups---and their size, the class number---give information about the arithmetic within a fie...
Let h(-)(p) be the relative class number of the p-th cyclotomic field. We show that log h(-) (p) = p...
An explicit formula for the mean value of |L(1, χ)| 2 is known, where χ runs over all odd primitive ...
AbstractWe give explicit upper bounds for residues at s=1 of Dedekind zeta functions of number field...
International audienceLet $d_0$ be a given square-free integer. We give an explicit formula $M_{d_0}...
AbstractGauss made two conjectures about average values of class numbers of orders in quadratic numb...
AbstractLet k be a rational function field over a finite field. Carlitz and Hayes have described a f...
AbstractThe purpose of this paper is to study the p-rank of the Jacobian of cyclotomic function fiel...
AbstractWe obtain, for quadratic and cyclotimic fields, asymptotic formulas for two arithmetic funct...
International audienceUsing formulas for quadratic mean values of L-functions at s = 1, we recover p...
International audienceWe explain how one can use the explicit formulas for the mean square values of...
International audienceWe explain how one can use the explicit formulas for the mean square values of...
International audienceExplicit formulas for the quadratic mean value at s = 1 of the Dirichlet L-fun...
Abstract. In the previous paper [8], the author gave a determinant for-mula of relative zeta functio...
Let h(-)(p) be the relative class number of the p-th cyclotomic field. We show that log h(-) (p) = p...
Class groups---and their size, the class number---give information about the arithmetic within a fie...
Let h(-)(p) be the relative class number of the p-th cyclotomic field. We show that log h(-) (p) = p...
An explicit formula for the mean value of |L(1, χ)| 2 is known, where χ runs over all odd primitive ...
AbstractWe give explicit upper bounds for residues at s=1 of Dedekind zeta functions of number field...
International audienceLet $d_0$ be a given square-free integer. We give an explicit formula $M_{d_0}...
AbstractGauss made two conjectures about average values of class numbers of orders in quadratic numb...
AbstractLet k be a rational function field over a finite field. Carlitz and Hayes have described a f...
AbstractThe purpose of this paper is to study the p-rank of the Jacobian of cyclotomic function fiel...
AbstractWe obtain, for quadratic and cyclotimic fields, asymptotic formulas for two arithmetic funct...
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