3 papers
math.NT2026
Fixed points and exact periods of Chebyshev polynomials modulo odd prime powers
Chatchawan Panraksa, Aram Tangboonduangjit
Passing from a prime modulus to a higher prime power can change both the lengths and the number of cycles of a polynomial map. We determine these changes for Chebyshev polynomials…
math.CO2025
Arndt and Carlitz Compositions
Brian Hopkins, Aram Tangboonduangjit
Carlitz considered integer compositions in which adjacent parts must be unequal. Arndt recently initiated the study of restricted compositions based on conditions applied to certai…
math.CO2024
Water Cells in Compositions of 1s and 2s
Brian Hopkins, Aram Tangboonduangjit
Mansour and Shattuck introduced the notion of water cells for integer compositions in 2018. We focus on compositions with parts restricted to 1 and 2 and consider the array of coun…