Nicola Fabiano, Nikola Mirkov, Stojan Radenović, “Collatz hypothesis and Planck's black body radiation”, J. Sib. Fed. Univ. Math. Phys., 2024, Volume 17, Issue 3,Pages <nobr>408

Collatz hypothesis and Planck's black body radiation

Nicola Fabiano^a, Nikola Mirkov^a, Stojan Radenović^b

^a "Vinča" Institute of Nuclear Sciences – National Institute of the Republic of Serbia, University of Belgrade, Belgrade, Serbia
^b Faculty of Mechanical Engineering, University of Belgrade, Beograd, Serbia

Abstract: The Collatz conjecture is considered and the density of values is compared to Planck's black body radiation, showing a remarkable agreement with each other. We also briefly discuss a generalisation of Collatz conjecture.

Keywords: Collatz conjecture, black body radiation, Collatz conjecture generalisation.

UDC: 517.10

Received: 10.02.2023
Received in revised form: 13.01.2024
Accepted: 01.03.2024

Language: English