Add to ORKGAbstract. A topology on Z, which gives a nice proof that the set of prime integers is infinite, is characterised and examined. It is found to be homeomorphic to Q, with a compact completion homeomorphic to the Cantor set. It has a natural place in a family of topologies on Z, which includes the p-adics, and one in which the set of rational primes P is dense. Examples from number theory are given, including the primes and squares, Fermat numbers, Fibonacci numbers and k-free numbers.
Theorem. There are infinitely many primes. Euclid’s proof of this theorem is a classic piece of math...
AbstractWe study α-adic expansions of numbers, that is to say, left infinite representations of numb...
Abstract. This article provides a computation of the mod p homotopy groups of the fixed points of th...
The field of real numbers is usually constructed using Dedekind cuts. In these thesis we focus on th...
When considering the usual absolute value, rational numbers can be extended to real numbers. If we w...
We provide a construction which covers as special cases many of the topologies on integers one can f...
The p-adic numbers were introduced by K. Hensel [1] in connection with number theory. The absolute ...
We define a notion of tiling of the full infinite p-ary tree, establishing a series of equivalent cr...
This is a survey article on the combinatorial aspects of the p-adic metric and p-adic topology on wo...
The book gives an introduction to p-adic numbers from the point of view of number theory, topology, ...
We introduce and de ne the p-adics integer numbers as a result of a search for solutions, for a con...
We introduce and de ne the p-adics integer numbers as a result of a search for solutions, for a con...
© 2021. American Mathematical Society. In 1922 Mordell conjectured the striking statement that, for ...
This paper deals with rational base number systems for p-adic numbers. We mainly focus on the system...
An exotic topology on the set of intergers is introduced and this topology is used to prove that the...
Theorem. There are infinitely many primes. Euclid’s proof of this theorem is a classic piece of math...
AbstractWe study α-adic expansions of numbers, that is to say, left infinite representations of numb...
Abstract. This article provides a computation of the mod p homotopy groups of the fixed points of th...
The field of real numbers is usually constructed using Dedekind cuts. In these thesis we focus on th...
When considering the usual absolute value, rational numbers can be extended to real numbers. If we w...
We provide a construction which covers as special cases many of the topologies on integers one can f...
The p-adic numbers were introduced by K. Hensel [1] in connection with number theory. The absolute ...
We define a notion of tiling of the full infinite p-ary tree, establishing a series of equivalent cr...
This is a survey article on the combinatorial aspects of the p-adic metric and p-adic topology on wo...
The book gives an introduction to p-adic numbers from the point of view of number theory, topology, ...
We introduce and de ne the p-adics integer numbers as a result of a search for solutions, for a con...
We introduce and de ne the p-adics integer numbers as a result of a search for solutions, for a con...
© 2021. American Mathematical Society. In 1922 Mordell conjectured the striking statement that, for ...
This paper deals with rational base number systems for p-adic numbers. We mainly focus on the system...
An exotic topology on the set of intergers is introduced and this topology is used to prove that the...
Theorem. There are infinitely many primes. Euclid’s proof of this theorem is a classic piece of math...
AbstractWe study α-adic expansions of numbers, that is to say, left infinite representations of numb...
Abstract. This article provides a computation of the mod p homotopy groups of the fixed points of th...