Detailed asymptotic expansions for partitions into powers
Detailed asymptotic expansions for partitions into powers
In this paper, we examine the number of ways to partition an integer [Formula: see text] into [Formula: see text]th powers when [Formula: see text] is large. Simplified proofs of some asymptotic results of Wright are given using the saddle-point method, including exact formulas for the expansion coefficients. The convexity …