Volume 32 ▶ Number 1 ▷ Number 2 (Online First)
- Volume opened: 1 April 2026
- Status: In progress
On the inverse of a certain triangular matrix and its connection to the largest odd divisor
Original research paper. Pages 255–262
Sela Fried
Full paper (PDF, 196 Kb) | Abstract
The inverse 
of a certain infinite triangular matrix 
is shown to be directly related to the largest odd divisor function, thus proving a conjecture of Barry. We also provide a proof of a formula for given by Yin and obtain bivariate generating functions for and .
of a certain infinite triangular matrix is shown to be directly related to the largest odd divisor function, thus proving a conjecture of Barry. We also provide a proof of a formula for given by Yin and obtain bivariate generating functions for and .
A note on Leibniz rule for difference quotient
Original research paper. Pages 263–268
Taekyun Kim and Dae San Kim
Full paper (PDF, 161 Kb) | Abstract
In this note, we derive a Leibniz rule for difference quotient.
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-NP7/2/03.12.2025. Bulgarian National Science Fund bears no liability for the content of the published materials.
