On a question of Douglass and Ono
Florian Luca (Stellenbosch University)
Abstract: It is known that the partition function obeys Benford's law in any integer base . A similar result was obtained by Douglass and Ono for the plane partition function in a recent paper. In their paper, Douglass and Ono asked for an explicit version of this result. In particular, given an integer base and string of digits in base they asked for an explicit value such that there exists with the property that starts with the string when written in base . In my talk, I will present an explicit value for both for the partition function as well as for the plane partition function .
dynamical systemsnumber theory
Audience: researchers in the topic
Series comments: Description: Online seminar on numeration systems and related topics
For questions or subscribing to the mailing list, contact the organisers at numeration@irif.fr
Organizers: | Shigeki Akiyama, Ayreena Bakhtawar, Karma Dajani, Kevin Hare, Hajime Kaneko, Niels Langeveld, Lingmin Liao, Wolfgang Steiner* |
*contact for this listing |