Mahonian Partition Identities via Polyhedral Geometry

DOI10.1007/978-1-4614-4075-8_3zbMath1305.05007arXiv1103.1070OpenAlexW1784319908MaRDI QIDQ4912512

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Publication date: 4 April 2013

Published in: From Fourier Analysis and Number Theory to Radon Transforms and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.1070

zbMATH Keywords

compositionpolyhedral conepartition identitiesinteger lattice pointMacMahon's \(\Omega\) operator

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Lattices and convex bodies in (n) dimensions (aspects of discrete geometry) (52C07) Combinatorial aspects of partitions of integers (05A17) Lattices and convex bodies (number-theoretic aspects) (11H06) Elementary theory of partitions (11P81) Partition identities; identities of Rogers-Ramanujan type (11P84)

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Uses Software

• OEIS
• Omega

Cites Work

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