4 papers
math.HO2020
The Baumkuchen Theorem
Masanori Ando, Tadayuki Haraguchi
In this paper, we present the Baumkuchen Theorem related to the combination of divided Baumkuchen pieces. It can be proved using the basic properties of elementary geometry. We als…
math.CO2019
A combinatorial proof of the supper symmetric property of hook length
Masanori Ando
There are kinds of length hooks with different arm length. Actually, this kinds appear uniformly in Young diagrams of size . The property ``appear uniformly'' is cal…
math.CO2018
Inferior Regular Partitions and Glaisher Correspondence
Masanori Ando
In this paper, we proof Mizukawa-Yamada's and -tuple version of this.
math.CO2015
Odd number and Trapezoidal number
Masanori Ando
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 versi…