Likeℕ’s – a point of view on natural numbers

• Autorzy: Edward Tutaj
• Języki publikacji: EN

Abstrakty

EN

We define and study some simple structures which we call likens and which are conceptually near to both sets of natural numbers, i.e. ℕ with addition and ℕ* = ℕ \ {0} with multiplication. It appears that there are many different likens, which makes it possible to look on usual natural numbers from a more general point of view. In particular, we show that ℕ and ℕ* are related to some functionals on the space of likens. A similar idea is known for a long time as the Beurling generalized numbers. Our approach may be considered as a little more natural and more general, since it admits the finitely generated likens.

Słowa kluczowe

EN

Beurling numbers; distribution of prime numbers

• Wydawca: Wydawnictwo Naukowe Uniwersytetu Pedagogicznego
• Czasopismo: Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
• Rocznik: 2017
• Tom: 16

Daty

wydano

2017-12-01

otrzymano

2017-11-05

zaakceptowano

2017-11-29

online

2018-01-27

Twórcy

autor

Edward Tutaj

• , ul. Adama Mickiewicza 8, ,

Identyfikatory

DOI

10.1515/aupcsm-2017-0008