The saddle-point method for general partition functions
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Publication:783664
DOI10.1016/j.indag.2020.06.010zbMath1456.11198arXiv2004.05227OpenAlexW3037350574MaRDI QIDQ783664
Gérald Tenenbaum, Gregory Debruyne
Publication date: 4 August 2020
Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.05227
Exact enumeration problems, generating functions (05A15) Combinatorial aspects of partitions of integers (05A17) Analytic theory of partitions (11P82)
Related Items (4)
Detailed asymptotic expansions for partitions into powers ⋮ PARTITIONS INTO PRIME POWERS ⋮ A central limit theorem for integer partitions into small powers ⋮ Partitions with multiplicities associated with divisor functions
Cites Work
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- Polynomial partition asymptotics
- Partitions into \(k\)th powers of terms in an arithmetic progression
- Asymptotic partition formulae. III. Partitions into \(k\)-th powers
- Power partitions and saddle-point method
- Squares: Additive questions and partitions
- General moment theorems for nondistinct unrestricted partitions
- The moments of partitions, I
- The moments of partitions, II
- Tauberian Theory
- Power partitions
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