Power partitions and saddle-point method
Résumé
For k≥1, denote by p_k(n) the number of partitions of an integer n into k-th powers. In this note, we apply the saddle-point method to provide a new proof for the well-known asymptotic expansion of p_k(n). This approach turns out to significantly simplify those of Wright (1934), Vaughan (2015) and Gafni (2016).
Origine : Fichiers produits par l'(les) auteur(s)
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