Add to ORKGFour years ago, Baker and I gave the first accepted solutions to the problem of finding all complex quadratic fields of class-number one. This paper will be a report on some of the more interesting developments in class-number problems and the functions connected with these problems. It is now possible to completely settl
For a given positive integer $k$, we prove that there are at least $x^{1/2-o(1)}$ integers $d\leq x$...
The purpose of this paper is to give an explicit proof of the infinity of real quadratic fields of R...
Gauss found 9 imaginary quadratic fields with class number one, and in the early 19th century conjec...
The class number problem is one of the central open problems of algebraic number theory. It has long...
The class number problem is one of the central open problems of algebraic number theory. It has long...
Improving a result of Montgomery and Weinberger, we establish the existence of infinitely many real ...
In this paper we examine some of the developments concerning the Gauss class number problems and bui...
Abstract. We give explicit upper bounds for the discriminants of the non-normal quartic CM-fields wi...
We give an exposition of Heegner's and Siegel's proofs that there are exactly 9 imaginary quadratic ...
AbstractIn this paper we will apply Biró's method in [A. Biró, Yokoi's conjecture, Acta Arith. 106 (...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
International audienceThis paper formulates some conjectures for the number of imaginary quadratic f...
In this paper we will use tools from analysis to provide an explicit formula for the class number of...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
The determination of the class number of totally real fields of large discriminant is known to be a ...
For a given positive integer $k$, we prove that there are at least $x^{1/2-o(1)}$ integers $d\leq x$...
The purpose of this paper is to give an explicit proof of the infinity of real quadratic fields of R...
Gauss found 9 imaginary quadratic fields with class number one, and in the early 19th century conjec...
The class number problem is one of the central open problems of algebraic number theory. It has long...
The class number problem is one of the central open problems of algebraic number theory. It has long...
Improving a result of Montgomery and Weinberger, we establish the existence of infinitely many real ...
In this paper we examine some of the developments concerning the Gauss class number problems and bui...
Abstract. We give explicit upper bounds for the discriminants of the non-normal quartic CM-fields wi...
We give an exposition of Heegner's and Siegel's proofs that there are exactly 9 imaginary quadratic ...
AbstractIn this paper we will apply Biró's method in [A. Biró, Yokoi's conjecture, Acta Arith. 106 (...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
International audienceThis paper formulates some conjectures for the number of imaginary quadratic f...
In this paper we will use tools from analysis to provide an explicit formula for the class number of...
The ideal class group problem is one of the very interesting problems in algebraic number theory. In...
The determination of the class number of totally real fields of large discriminant is known to be a ...
For a given positive integer $k$, we prove that there are at least $x^{1/2-o(1)}$ integers $d\leq x$...
The purpose of this paper is to give an explicit proof of the infinity of real quadratic fields of R...
Gauss found 9 imaginary quadratic fields with class number one, and in the early 19th century conjec...