Geodesic
Bounds for the eventual positivity of difference functions of partitions into prime powers
Journal of integer sequences, Tome 10 (2007) no. 1
In this paper we specialize work done by Bateman and Erdős concerning difference functions of partition functions. In particular, we are concerned with partitions into fixed powers of the primes. We show that any difference function of these partition functions is eventually increasing, and derive explicit bounds for when it will attain strictly positive values. From these bounds an asymptotic result is derived.
Classification : 05A17, 11P81
Keywords: partition function, difference function 
@article{JIS_2007__10_1_a3,
     author = {Woodford,  Roger},
     title = {Bounds for the eventual positivity of difference functions of partitions into prime powers},
     journal = {Journal of integer sequences},
     year = {2007},
     volume = {10},
     number = {1},
     zbl = {1112.05009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JIS_2007__10_1_a3/}
}
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Woodford,  Roger. Bounds for the eventual positivity of difference functions of partitions into prime powers. Journal of integer sequences, Tome 10 (2007) no. 1. http://geodesic.mathdoc.fr/item/JIS_2007__10_1_a3/