Hilbert meets Ramanujan: singularity theory and integer partitions

DOI10.1090/bull/1854MaRDI QIDQ6658192

Hussein Mourtada

Publication date: 8 January 2025

Published in: Bulletin of the American Mathematical Society. New Series (Search for Journal in Brave)

zbMATH Keywords

Rogers-Ramanujan identitiesinteger partitionssingularity theorydifferential algebraGroebner basesarc spacesGordon identitiesarc HP-series

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Combinatorial aspects of partitions of integers (05A17) Singularities in algebraic geometry (14B05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

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