Add to ORKGImproving a result of Montgomery and Weinberger, we establish the existence of infinitely many real quadratic fields for which the class numbers are as large as possible. These values are achieved using a special family of fields, first studied by Chowla. In a subsequent work, joint with A. Dahl, we investigate the distribution of class numbers in Chowla’s family, and show a strong similarity between this distribution and that of class numbers of imaginary quadratic fields. As an application of our results, we determine the average order of the number of real quadratic fields in Chowla’s family with class number \(h\).Non UBCUnreviewedAuthor affiliation: York UniversityFacult
Class numbers of algebraic number fields are central invariants. Once the underlying field has an in...
AbstractIn this work we establish an effective lower bound for the class number of the family of rea...
In one of the long series of papers, Rédie [15] has given a theoretical description of the first thr...
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...
The purpose of this paper is to give an explicit proof of the infinity of real quadratic fields of R...
International audienceThis paper formulates some conjectures for the number of imaginary quadratic f...
For a given positive integer $k$, we prove that there are at least $x^{1/2-o(1)}$ integers $d\leq x$...
In this note I prove that the class number of Q(v’&)) is infinitely often divisible by n, where ...
Four years ago, Baker and I gave the first accepted solutions to the problem of finding all complex ...
The determination of the class number of totally real fields of large discriminant is known to be a ...
Class numbers of algebraic number fields are central invariants. Once the underlying field has an in...
AbstractIn this paper our attempt is to investigate the class number problem of imaginary quadratic ...
(Joint work with Anna Puskas) We determine all of the imaginary $n$-quadratic fields with class numb...
(Joint work with Anna Puskas) We determine all of the imaginary $n$-quadratic fields with class numb...
Class numbers of algebraic number fields are central invariants. Once the underlying field has an in...
AbstractIn this work we establish an effective lower bound for the class number of the family of rea...
In one of the long series of papers, Rédie [15] has given a theoretical description of the first thr...
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...
The purpose of this paper is to give an explicit proof of the infinity of real quadratic fields of R...
International audienceThis paper formulates some conjectures for the number of imaginary quadratic f...
For a given positive integer $k$, we prove that there are at least $x^{1/2-o(1)}$ integers $d\leq x$...
In this note I prove that the class number of Q(v’&)) is infinitely often divisible by n, where ...
Four years ago, Baker and I gave the first accepted solutions to the problem of finding all complex ...
The determination of the class number of totally real fields of large discriminant is known to be a ...
Class numbers of algebraic number fields are central invariants. Once the underlying field has an in...
AbstractIn this paper our attempt is to investigate the class number problem of imaginary quadratic ...
(Joint work with Anna Puskas) We determine all of the imaginary $n$-quadratic fields with class numb...
(Joint work with Anna Puskas) We determine all of the imaginary $n$-quadratic fields with class numb...
Class numbers of algebraic number fields are central invariants. Once the underlying field has an in...
AbstractIn this work we establish an effective lower bound for the class number of the family of rea...
In one of the long series of papers, Rédie [15] has given a theoretical description of the first thr...