Polynomial partition asymptotics

DOI10.1016/j.jmaa.2017.10.051zbMath1440.11193arXiv1705.00384OpenAlexW2964157571MaRDI QIDQ1684719

Nicolas Robles, Alexander Dunn

Publication date: 12 December 2017

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.00384

zbMATH Keywords

partitionspolylogarithmHardy-Littlewood circle method

Mathematics Subject Classification ID

Applications of the Hardy-Littlewood method (11P55) Analytic theory of partitions (11P82)

Related Items (7)

Turán inequalities for \(k\)-th power partition functions ⋮ PARTITIONS INTO PRIME POWERS ⋮ Partitions with multiplicities associated with divisor functions ⋮ Random permutations with logarithmic cycle weights ⋮ On Fibonacci partitions ⋮ Power partitions and saddle-point method ⋮ The saddle-point method for general partition functions

Cites Work

• On the asymptotic behaviour of general partition functions. II
• On the asymptotic behaviour of general partition functions
• Partitions into \(k\)th powers of terms in an arithmetic progression
• On the number of partitions into primes
• Squares: Additive questions and partitions
• Power partitions
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