The Number of Parts in Certain Residue Classes of Integer Partitions

Abstract

We use the Circle Method to derive asymptotic formulas for functions related to the number of parts of partitions in particular residue classes.

16 pages, v3: fixed a typo in Theorem 1.3, added Example 1.4, and re-ordered references

References in corpus (1)

• Period functions and cotangent sums

Cited by in corpus (2)

• Unexpected Biases between Congruence Classes for Parts in k-indivisible Partitions
• On the number of parts of integer partitions lying in given residue classes