The minimal excludant and colored partitions

zbMath1447.05021MaRDI QIDQ2199815

Mircea Merca, Cristina M. Ballantine

Publication date: 14 September 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2020//23.html

zbMATH Keywords

partitionscolored partitionsminimal excludantleast gap in partitions

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81) Radix representation; digital problems (11A63)

Related Items (7)

Unrefinable partitions into distinct parts in a normalizer chain ⋮ Combinatorial perspectives on the Crank and mex partition statistics ⋮ A further look at cubic partitions ⋮ 6-regular partitions: new combinatorial properties, congruences, and linear inequalities ⋮ Verification and generation of unrefinable partitions ⋮ A reversal of Schur's partition theorem ⋮ PED and POD partitions: combinatorial proofs of recurrence relations

Cites Work

• The truncated pentagonal number theorem
• Analysis of some new partition statistics
• Truncated theta series and a problem of Guo and Zeng
• Partitions and the minimal excludant
• Bisected theta series, least \(r\)-gaps in partitions, and polygonal numbers
• On identities of Watson type

This page was built for publication: The minimal excludant and colored partitions