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math.CO2019★ 2 cited
Cores and quotients of partitions through the Frobenius symbol
Olivier Brunat, Rishi Nath
The Frobenius symbol was first introduced in 1900 by Frobenius as a way to encode an integer partition. In 1941, motivated by the modular representation theory of the symmetric gro…
math.CO2019
Simultaneous core partitions with nontrivial common divisor
Jean-Baptiste Gramain, Rishi Nath, James A. Sellers
A tremendous amount of research has been done in the last two decades on -core partitions when and are positive integers with no common divisor. Here we change persp…