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 .
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.
