Volume 31 ▶ Number 1 ▷ Number 2 ▷ Number 3 (Online First)
- Volume opened: 17 June 2025
- Status: In progress
Editorial: A note on Papal Mathematics
Editorial. Pages 429–432
Anthony G. Shannon
Editorial (PDF, 393 Kb) | Abstract
Many recent media claims that Pope Leo XIV, Robert F. Prevost, born in the USA and elected in 2025 in succession to Pope Francis, is the first mathematician to become the Pope of the Catholic Church are questionable. That honour probably belongs to Pope Sylvester II (999–1003), Gerbert d’Aurillac, a Frenchman, educated in Moorish Spain which was then relatively advanced in mathematics and philosophy.
Fermatian row and column sums as a family of generalized integers
Original research paper. Pages 433–442
Anthony G. Shannon, Mine Uysal and Engin Özkan
Download paper (PDF, 1036 Kb) | Abstract
In this paper, we introduce some feature of the Fermatian numbers. The finite sum formulas of these numbers is calculate. The exponential generating function of Fermatian numbers is found and some of its identities is calculated. Another number sequence is obtained from the partial row sums of these numbers and these numbers were examined. At the same time, another polynomial has been defined as a generalization of these numbers, depending on powers of z.
A new symmetric weighing matrix SW(22,16)
Original research paper. Pages 443–447
Sheet Nihal Topno and Shyam Saurabh
Download paper (PDF, 180 Kb) | Abstract
The existence of symmetric weighing matrix 
is settled in this note through a theorem and exhaustive search.
is settled in this note through a theorem and exhaustive search.
This volume of the International Journal “Notes on Number Theory and Discrete Mathematics” is published with the financial support of the Bulgarian National Science Fund, Grant Ref. No. KP-06-NP6/12/02.12.2024.
