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math.CO2022
An application of sums of triple products of binomials
Michael J. J. Barry
We prove that a certain family of sums of products of three binomials has alternating behavior modulo a prime . To accomplish this we rewrite these sums as signed sums of produc…
math.RT2022
Generators for Decompositions of Tensor Products of Indecomposable Modules
Michael J. J. Barry
Let be a field of non-zero characteristic , let be a cyclic group of order for some positive integer , and let and be indecomposable -modules. W…