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math.CO2026
p^(k)-Fibonacci Numbers of the p-Bratteli Diagram for Every Odd Prime p and Integer k>=0
M. Parvathi, A. Tamilselvi, D. Hepsi
We study paths in the p-Bratteli diagram associated with hook partitions, where p is an odd prime. By comparing blocks along a path, we define inversions and descents. We prove tha…
math.CO2025
Study of -Eulerian polynomials and -Fibonacci numbers for every odd prime and
M. Parvathi, A. Tamilselvi, D. Hepsi
In this paper, we define the notion of descent for the paths in the -Bratteli diagram. This leads to the definition of -Eulerian polynomials, whose coefficients count the…