On cranks of partitions modulo 12 and 16.
| Autor: | Du, Julia Q. D. |
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| Zdroj: | Ramanujan Journal; Nov2023, Vol. 62 Issue 3, p863-883, 21p |
| Abstrakt: | Let M(t, m, n) be the number of partitions of n with crank congruent to t modulo m. In this paper, we derive the generating functions of two variations of four combinations of the crank function. By considering the combinations of cranks of partitions modulo 12 and 16, we establish the generating functions of cranks: ∑ n = 0 ∞ M (t , m , n) q n , where m = 12 , 16 , and 0 ≤ t ≤ m / 2 . [ABSTRACT FROM AUTHOR] |
| Databáze: | Complementary Index |
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