4 papers
math.NT2026
Linear identities for partition pairs with -cores
Russelle Guadalupe
We prove an infinite family of linear identities for the number of partition pairs of with -cores by using certain theta function identities involving the Ramanujan…
math.NT2025
Congruences modulo and for certain two restricted partition functions
Russelle Guadalupe
For an integer , let count the number of generalized cubic partitions of , which are partitions of whose even parts may appear in different colors, and…
math.NT2025
A note on congruences for the difference between even cranks and odd cranks
Russelle Guadalupe
Recently, Amdeberhan and Merca proved some arithmetic properties of the crank parity function defined as the difference between the number of partitions of with even cra…
math.NT2025
The -elongated plane partition function modulo small powers of
Russelle Guadalupe
Andrews and Paule revisited combinatorial structures known as the -elongated partition diamonds, which were introduced in connection with the study of the broken -diamond par…