2 citations · 3 across the 4 of their papers we have counts for
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Congruences for hook lengths of partitions
Frédéric Jouhet, David Wahiche
Recently, Amdeberhan et al. proved congruences for the number of hooks of fixed even length among the set of self-conjugate partitions of an integer , therefore answering positi…
Macdonald Identities, Weyl-Kac Denominator Formulas and Affine Grassmannian Elements
Cédric Lecouvey, David Wahiche
The Nekrasov-Okounkov formula gives an expression for the Fourier coefficients of the Euler functions as a sum of hook length products. This formula can be deduced from a specializ…
Some combinatorial interpretations of the Macdonald identities for affine root systems and Nekrasov--Okounkov type formulas
David Wahiche
We explore some connections between vectors of integers and integer partitions seen as bi-infinite words. This methodology enables us on the one hand to obtain enumerations connect…
Some combinatorial interpretations of the Macdonald identities for affine root systems
David Wahiche
We explore some connections between vectors of integers and integer partitions seen as bi-infinite words. This methodology enables us to give a combinatorial interpretation of the…