ON q-SERIES IDENTITIES ARISING FROM LECTURE HALL PARTITIONS

DOI10.1142/S1793042109002134zbMath1173.33012OpenAlexW2046549694MaRDI QIDQ3626325

George E. Andrews, Carla D. Savage, Sylvie Corteel

Publication date: 22 May 2009

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042109002134

zbMATH Keywords

recurrence relationbasic hypergeometric function(truncated) anti-lecture hall composition(truncated) lecture hall partition\(q\)-analogue of Gauss' summation

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Elementary theory of partitions (11P81)

Related Items (5)

The refined lecture hall theorem via abacus diagrams ⋮ The mathematics of lecture hall partitions ⋮ Certain \(q\)-series identities and applications to lecture hall type partitions ⋮ On \(P\)-partitions related to ordinal sums of posets ⋮ Ehrhart series of lecture hall polytopes and Eulerian polynomials for inversion sequences

Cites Work

• Lecture hall theorems, \(q\)-series and truncated objects
• Lecture hall partitions
• Anti-lecture hall compositions
• On the q-analog of Kummer's theorem and applications

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