Parity of the coefficients of certain eta-quotients. II: The case of even-regular partitions (Q6156548)
From MaRDI portal
scientific article; zbMATH DE number 7695613
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Parity of the coefficients of certain eta-quotients. II: The case of even-regular partitions |
scientific article; zbMATH DE number 7695613 |
Statements
Parity of the coefficients of certain eta-quotients. II: The case of even-regular partitions (English)
0 references
13 June 2023
0 references
In this paper, the authors continue the study of the density of the odd values of eta-quotients begun in Part I [J. Number Theory 235, 275--304 (2022; Zbl 1491.11096)]. Keeping the same attractive still of the exposition, they investigate the behavior modulo \(2\) of the \(m\)-regular partitions \(b_m(n)\) and obtain new and interesting results. A characterization of the odd density of even-regular partition functions is stated by an interesting conjecture.
0 references
partition function
0 references
regular partition
0 references
density odd values
0 references
partition identity
0 references
modular form modulo 2
0 references
eta-quotient
0 references
parity of the partition function
0 references
0 references
0 references
0 references
