Add to ORKGFor a given positive integer $k$, we prove that there are at least $x^{1/2-o(1)}$ integers $d\leq x$ such that the real quadratic fields $\mathbb Q(\sqrt{d+1}),\dots,\mathbb Q(\sqrt{d+k})$ have class numbers essentially as large as possible.Comment: 7 pages; strengthened the results and added a co-author; comments are welcome
Four years ago, Baker and I gave the first accepted solutions to the problem of finding all complex ...
Let N denote the sets of positive integers and D is an element of N be square free, and let chi(D), ...
The determination of the class number of totally real fields of large discriminant is known to be a ...
Improving a result of Montgomery and Weinberger, we establish the existence of infinitely many real ...
summary:Let $d$ be a square-free positive integer and $h(d)$ be the class number of the real quadrat...
We prove that in each degree divisible by 2 or 3, there are infinitely many totally real number fiel...
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...
In this note I prove that the class number of Q(v’&)) is infinitely often divisible by n, where ...
AbstractIn this paper we will apply Biró's method in [A. Biró, Yokoi's conjecture, Acta Arith. 106 (...
AbstractIn this work we establish an effective lower bound for the class number of the family of rea...
AbstractH. Pfeuffer [J. Number Theory 11 (1979), 188–196] showed that totally positive quadratic for...
There is considerable interest in how large the fundamental units of real quadratic fields may be. F...
The authors state and prove a rapid criterion to determine whether the class-number of certain real ...
The purpose of this paper is to give an explicit proof of the infinity of real quadratic fields of R...
Four years ago, Baker and I gave the first accepted solutions to the problem of finding all complex ...
Let N denote the sets of positive integers and D is an element of N be square free, and let chi(D), ...
The determination of the class number of totally real fields of large discriminant is known to be a ...
Improving a result of Montgomery and Weinberger, we establish the existence of infinitely many real ...
summary:Let $d$ be a square-free positive integer and $h(d)$ be the class number of the real quadrat...
We prove that in each degree divisible by 2 or 3, there are infinitely many totally real number fiel...
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...
In this note I prove that the class number of Q(v’&)) is infinitely often divisible by n, where ...
AbstractIn this paper we will apply Biró's method in [A. Biró, Yokoi's conjecture, Acta Arith. 106 (...
AbstractIn this work we establish an effective lower bound for the class number of the family of rea...
AbstractH. Pfeuffer [J. Number Theory 11 (1979), 188–196] showed that totally positive quadratic for...
There is considerable interest in how large the fundamental units of real quadratic fields may be. F...
The authors state and prove a rapid criterion to determine whether the class-number of certain real ...
The purpose of this paper is to give an explicit proof of the infinity of real quadratic fields of R...
Four years ago, Baker and I gave the first accepted solutions to the problem of finding all complex ...
Let N denote the sets of positive integers and D is an element of N be square free, and let chi(D), ...
The determination of the class number of totally real fields of large discriminant is known to be a ...