Odd number and Trapezoidal number

2015/04/16 by Ando, Masanori
#Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1504.04121

Abstract

In this paper, we give a bijective proof of the reduced lecture hall partition theorem. It is possible to extend this bijection in lecture hall partition theorem. And refined versions of each theorems are also presented.

Related

• Euler's partition theorem and lecture hall partition theorem
• The mathematics of lecture hall partitions
• The Refined Lecture Hall Theorem via Abacus Diagrams
• Lecture Hall Theorems, q-series and Truncated Objects
• Polyhedral geometry for lecture hall partitions