TY - JOUR
T1 - Multi-partition analogue of q-binomial coefficients
AU - Kim, Byungchan
AU - Nam, Hayan
AU - Yu, Myungjun
N1 - Publisher Copyright:
© 2024 World Scientific Publishing Company.
PY - 2024/6/1
Y1 - 2024/6/1
N2 - We introduce the multi-Gaussian polynomial Gk(M,N), a multi-partition analogue of the Gaussian polynomial (also known as q-binomial coefficient), as the generating function for certain restricted multi-color partitions. We study basic properties of multi- Gaussian polynomials and non-symmetric properties of Gk(M,N). We also derive a Sylvester-type identity and its application.
AB - We introduce the multi-Gaussian polynomial Gk(M,N), a multi-partition analogue of the Gaussian polynomial (also known as q-binomial coefficient), as the generating function for certain restricted multi-color partitions. We study basic properties of multi- Gaussian polynomials and non-symmetric properties of Gk(M,N). We also derive a Sylvester-type identity and its application.
KW - Partition
KW - color partition
KW - multi-Gaussian polynomial
UR - https://www.scopus.com/pages/publications/85190111528
U2 - 10.1142/S1793042124500659
DO - 10.1142/S1793042124500659
M3 - Article
AN - SCOPUS:85190111528
SN - 1793-0421
VL - 20
SP - 1327
EP - 1351
JO - International Journal of Number Theory
JF - International Journal of Number Theory
IS - 5
ER -