A polyhedral model of partitions with bounded differences and a bijective proof of a theorem of Andrews, Beck, and Robbins

Author:

Breuer Felix,Kronholm Brandt

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference16 articles.

1. Andrews, GE: The theory of partitions. Addison-Wesley, reading, MA, 1976; reissued: Cambridge university Press, Cambridge (1998).

2. Andrews, GE: Differences of Partition Functions: The Anti-telescoping Method. In: Farkas, HM, Gunning, RC, Knopp, MI, Taylor, BA (eds.)From Fourier Analysis and Number Theory to Radon Transforms and Geometry: In Memory of Leon Ehrenpreis, volume 28 of Developments in Mathematics, pp. 1–20. Springer, New York (2013).

3. Andrews, GE, Beck, M, Robbins, N: Partitions with fixed differences between largest and smallest parts. Proceedings of the American mathematical society. 143(10), 4283–4289 (2015).

4. Beck, M, Braun, B, Koeppe, M, Savage, C, Zafeirakopoulos, Z: s-Lecture Hall Partitions, Self-Reciprocal Polynomials, and Gorenstein Cones. Ramanujan J. 36(1–2), 123–147 (2015).

5. Beck, M, Braun, B, Le, N: Mahonian partition identities via polyhedral geometry. From fourier analysis and number theory to radon transforms and geometry: In Memory of Leon Ehrenpreis. 28, 41–54 (2013). Springer New York.

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