AbstractLet H(t) be the number of conjugacy classes of elements in SL(2, L) with trace t, and let h(n) be the number of equivalence classes of binary quadratic forms with discriminant n. Then for t≠±2, H(t)=h(t2−4). For all real θ > 0 there is a T(θ) such that whenever |t|>T(θ), H(t)>|t|1−θ. There is a c>0 such that for those t such that t2−4 is squarefree, H(t)≤c|t|
AbstractWe determine the asymptotic average sizes of the class numbers of indefinite binary quadrati...
In this paper we give a formula for the number of representations of some square-free integers by ce...
The level question is, whether there exists a field F with finite square class number q(F): = |F × /...
ABSTRACT. An exposition on ‘Spacing of zeros of Hecke L-functions and the class number problem ’ by ...
Let SL(2,q) be the group of 2x2 matrices with determinant one over a finite field F of size q. We pr...
Much is known about the statistical distribution of class numbers of binary quadratic forms and quad...
The range of validity of Dirichlet's formula for the number of primary representations of the p...
In the present paper we give explicit upper bounds for the number of equivalence classes of binary f...
It is well known how to find the formulae for the number of representations of positive integers by ...
Abstract. Let Vn be the SL2-module of binary forms of degree n and let V = V1⊕V3⊕V4. We show that th...
AbstractWe shall discuss the conjugacy problem of the modular group, and show how its solution, in c...
summary:Let $d$ be a square-free positive integer and $h(d)$ be the class number of the real quadrat...
Let N denote the set of positive integers and Z the set of all integers. Let N0 = N ∪ {0}. Let a1x2 ...
[1], 92-197 p., 1 L. 26 cm."Reprinted from Dickson's History of the theory of numbers, vol. III, ch...
Denote by R(F,G) the resultant of two binary forms F,G. Let S = {p1,..., pt} be a finite, possibly e...
AbstractWe determine the asymptotic average sizes of the class numbers of indefinite binary quadrati...
In this paper we give a formula for the number of representations of some square-free integers by ce...
The level question is, whether there exists a field F with finite square class number q(F): = |F × /...
ABSTRACT. An exposition on ‘Spacing of zeros of Hecke L-functions and the class number problem ’ by ...
Let SL(2,q) be the group of 2x2 matrices with determinant one over a finite field F of size q. We pr...
Much is known about the statistical distribution of class numbers of binary quadratic forms and quad...
The range of validity of Dirichlet's formula for the number of primary representations of the p...
In the present paper we give explicit upper bounds for the number of equivalence classes of binary f...
It is well known how to find the formulae for the number of representations of positive integers by ...
Abstract. Let Vn be the SL2-module of binary forms of degree n and let V = V1⊕V3⊕V4. We show that th...
AbstractWe shall discuss the conjugacy problem of the modular group, and show how its solution, in c...
summary:Let $d$ be a square-free positive integer and $h(d)$ be the class number of the real quadrat...
Let N denote the set of positive integers and Z the set of all integers. Let N0 = N ∪ {0}. Let a1x2 ...
[1], 92-197 p., 1 L. 26 cm."Reprinted from Dickson's History of the theory of numbers, vol. III, ch...
Denote by R(F,G) the resultant of two binary forms F,G. Let S = {p1,..., pt} be a finite, possibly e...
AbstractWe determine the asymptotic average sizes of the class numbers of indefinite binary quadrati...
In this paper we give a formula for the number of representations of some square-free integers by ce...
The level question is, whether there exists a field F with finite square class number q(F): = |F × /...
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