Detailed asymptotic expansions for partitions into powers

DOI10.1142/s1793042123501063arXiv2205.13468OpenAlexW4380077412MaRDI QIDQ6050861

Cormac O'Sullivan

Publication date: 19 September 2023

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.13468

zbMATH Keywords

partitionslog-concavitypartitions into powerssaddle-point methodWright function

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Analytic theory of partitions (11P82)

Related Items

Turán inequalities for \(k\)-th power partition functions, Partitions with multiplicities associated with divisor functions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Andrews-Zagier asymptotics for partitions without sequences
• The saddle-point method for general partition functions
• Partitions: At the interface of \(q\)-series and modular forms
• Zeros of Jensen polynomials and asymptotics for the Riemann xi function
• De Moivre and Bell polynomials
• A generalization of the Riemann-Siegel formula
• An expansion for the number of partitions of an integer
• Power partitions and saddle-point method
• A transformation formula in the theory of partitions
• Finite differences of the logarithm of the partition function
• Squares: Additive questions and partitions
• SOME OBSERVATIONS AND SPECULATIONS ON PARTITIONS INTO d-TH POWERS
• Power partitions and a generalized eta transformation property
• Power partitions