EUDML | Connections between connected topological spaces on the set of positive integers

Skip to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0')

Displaying similar documents to “Connections between connected topological spaces on the set of positive integers”

The closures of arithmetic progressions in the common division topology on the set of positive integers

Paulina Szczuka (2014)

Open Mathematics

Similarity:

In this paper we characterize the closures of arithmetic progressions in the topology T on the set of positive integers with the base consisting of arithmetic progressions {an + b} such that if the prime number p is a factor of a, then it is also a factor of b. The topology T is called the common division topology.

On disjoint arithmetic progressions

Yong-Gao Chen (2005)

Acta Arithmetica

Similarity:

On the structure of sets with many k-term arithmetic progressions

(2009)

Acta Arithmetica

Similarity:

A generalization of Freiman's 3k-3 Theorem

Yahya Ould Hamidoune, Alain Plagne (2002)

Acta Arithmetica

Similarity:

Some results on Oppenheim's "Factorisatio Numerorum" function

Florian Luca, Anirban Mukhopadhyay, Kotyada Srinivas (2010)

Acta Arithmetica

Similarity:

The Elements of Arithmetic

Augustus DeMorgan

Similarity:

Algebra with Arithmetic and Mensuration

Brahmagupta

Similarity:

Some remarks on bicommutability

M. Artigue, E. Isambert, M. Perrin, A. Zalc (1978)

Fundamenta Mathematicae

Similarity:

Some proofs of undecidability of arithmetic

Andrzej Grzegorczyk (1956)

Fundamenta Mathematicae

Similarity:

Arithmetic progressions in sums of subsets of sparse sets

Tomasz Schoen (2011)

Acta Arithmetica

Similarity:

The Philosophy of Arithmetic

John Leslie

Similarity:

Arithmetic functions on Beatty sequences

Abercrombie Alex G., Banks William D., Shparlinski Igor E. (2009)

Acta Arithmetica

Similarity:

On non-intersecting arithmetic progressions

Ernest S. Croot III (2003)

Acta Arithmetica

Similarity:

Farhi arithmetic functions associated to Lucas sequences

Qing-Zhong Ji (2011)

Acta Arithmetica

Similarity: