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Article Dans Une Revue International Journal of Number Theory Année : 2023

Neighborly partitions and the numerators of Rogers–Ramanujan identities

Résumé

We prove two partition identities which are dual to the Rogers–Ramanujan identities. These identities are inspired by (and proved using) a correspondence between three kinds of objects: a new type of partitions (neighborly partitions), monomial ideals and some infinite graphs.

Dates et versions

hal-04008149 , version 1 (28-02-2023)

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Zahraa Mohsen, Hussein Mourtada. Neighborly partitions and the numerators of Rogers–Ramanujan identities. International Journal of Number Theory, In press, pp.1-14. ⟨10.1142/S1793042123500434⟩. ⟨hal-04008149⟩
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