Geodesic
On Partitions into Powers of Primes and Their Difference Functions
Canadian journal of mathematics, Tome 61 (2009) no. 2, pp. 465-480

Voir la notice de l'article provenant de la source Cambridge University Press

In this paper, we extend the approach first outlined by Hardy and Ramanujan for calculating the asymptotic formulae for the number of partitions into $r$ -th powers of primes, ${{p}_{\mathbb{P}\left( r \right)}}\left( n \right)$ , to include their difference functions. In doing so, we rectify an oversight of said authors, namely that the first difference function is perforce positive for all values of $n$ , and include the magnitude of the error term.
DOI : 10.4153/CJM-2009-024-6
Mots-clés : 05A17, 11P81 
Woodford, Roger. On Partitions into Powers of Primes and Their Difference Functions. Canadian journal of mathematics, Tome 61 (2009) no. 2, pp. 465-480. doi: 10.4153/CJM-2009-024-6
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