Add to ORKGAbstract. Let S = {a1, a2, · · · , a`} be a finite set of non-zero integers. Re-cently, R. Balasubramanian et al., ([2], 2010) computed the density of those primes p such that ai is a quadratic residue (respectively, non-residue) modulo p for every i. As an application of this result, the proved an exact formula for the degree of the multi-quadratic field Q(√a1,√a2,...,√a`) over Q. In this lecture notes, we give an expository of the above result together with all the preliminaries that needed. 1
AbstractLet p be a prime and χ a nonprincipal character modp. Let 1⩽m⩽p and l an integer so that p∤l...
The celebrated Smith-Minkowski-Siegel mass formula expresses the mass of a quadratic lattice (L,Q) a...
We say that a set S is additively decomposed into two sets A and B if S = {a+b: a ∈ A, b ∈ B}. A. Sá...
summary:A classical result in number theory is Dirichlet's theorem on the density of primes in an ar...
Abstract. Rényi’s result on the density of integers whose prime factorizations have excess multipli...
Kuroda's formula relates the class number of a multi-quadratic number field $K$ to the class numbers...
AbstractThe following problem may be considered as an inverse of Artin′s density theorem: Given n ≥ ...
AbstractThe following problem may be considered as an inverse of Artin′s density theorem: Given n ≥ ...
In one of the long series of papers, Rédie [15] has given a theoretical description of the first thr...
In one of the long series of papers, Rédie [15] has given a theoretical description of the first thr...
[[abstract]]Let r4(K_2 O_F) denote the 4-ranks of tame kernels K_2 O_F for real quadratic fields F, ...
Let $K$ be a cyclic totally real number field of odd degree over $\mathbb{Q}$ with odd class number,...
denote the fundamental unit of the real quadratic field Q(Vm). It is our purpose to evaluate the rat...
AbstractThe maximal density attainable by a sequence S of positive integers having the property that...
Abstract. In this article, we shall study a problem of the following nature. Given a natural number ...
AbstractLet p be a prime and χ a nonprincipal character modp. Let 1⩽m⩽p and l an integer so that p∤l...
The celebrated Smith-Minkowski-Siegel mass formula expresses the mass of a quadratic lattice (L,Q) a...
We say that a set S is additively decomposed into two sets A and B if S = {a+b: a ∈ A, b ∈ B}. A. Sá...
summary:A classical result in number theory is Dirichlet's theorem on the density of primes in an ar...
Abstract. Rényi’s result on the density of integers whose prime factorizations have excess multipli...
Kuroda's formula relates the class number of a multi-quadratic number field $K$ to the class numbers...
AbstractThe following problem may be considered as an inverse of Artin′s density theorem: Given n ≥ ...
AbstractThe following problem may be considered as an inverse of Artin′s density theorem: Given n ≥ ...
In one of the long series of papers, Rédie [15] has given a theoretical description of the first thr...
In one of the long series of papers, Rédie [15] has given a theoretical description of the first thr...
[[abstract]]Let r4(K_2 O_F) denote the 4-ranks of tame kernels K_2 O_F for real quadratic fields F, ...
Let $K$ be a cyclic totally real number field of odd degree over $\mathbb{Q}$ with odd class number,...
denote the fundamental unit of the real quadratic field Q(Vm). It is our purpose to evaluate the rat...
AbstractThe maximal density attainable by a sequence S of positive integers having the property that...
Abstract. In this article, we shall study a problem of the following nature. Given a natural number ...
AbstractLet p be a prime and χ a nonprincipal character modp. Let 1⩽m⩽p and l an integer so that p∤l...
The celebrated Smith-Minkowski-Siegel mass formula expresses the mass of a quadratic lattice (L,Q) a...
We say that a set S is additively decomposed into two sets A and B if S = {a+b: a ∈ A, b ∈ B}. A. Sá...