L e, Upper bounds for class numbers of real quadratic fields, Acta Arith

The study of combinatorial problems on chessboards dates back to 1848, when German chess player Max Bezzel [2] first posed the n-queens problem, that is, the problem of placing n

(Note that h/n divides H because the Hilbert class field of k is an abelian unramified extension of K of degree h/n.) Since examples with H = h/n do exist, this index, for a

With this terminology, 1-reduced ideals are just the reduced ideals in the classical sense, 0-reduced ideals are the negatively reduced ideals considered in [6].. and [3] (see

The aim of this paper is to prove a congruence of Ankeny–Artin–Chowla type modulo p 2 for real Abelian fields of a prime degree l and a prime conductor p.. The importance of such

Radio (d − 1)-colorings are referred to as radio antipodal coloring or, more simply, as an antipodal coloring, and the radio (d − 1)-chromatic number is called the antipodal

Given the many similarities between function fields and number fields it is reasonable to conjecture that the same is true of real quadratic function fields (see, for example,

The aim of this paper is to study their relations in the special case of a compositum k of real quadratic fields such that −1 is not a square in the genus field K of k in the

In view of the existence of correlations between the approximation of zero by values of integral polynomials and approximation of real numbers by algebraic numbers, we are interested