Effective bounds for the Andrews spt-function

DOI10.1515/forum-2018-0040zbMath1458.11146arXiv1706.01814OpenAlexW2952009401WikidataQ128026648 ScholiaQ128026648MaRDI QIDQ2311862

Riad Masri, Madeline Locus Dawsey

Publication date: 4 July 2019

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01814

zbMATH Keywords

partition functionsingular moduliAndrews' smallest parts functionChen's conjectures

Mathematics Subject Classification ID

Fourier coefficients of automorphic forms (11F30) Analytic theory of partitions (11P82)

Related Items (19)

Inequalities for the overpartition function ⋮ Effective estimates for the smallest parts function ⋮ Polynomization of the Bessenrodt-Ono inequality ⋮ Laguerre inequalities for discrete sequences ⋮ Asymptotics, Turán inequalities, and the distribution of the BG-rank and 2-quotient rank of partitions ⋮ Strict log-subadditivity for overpartition rank ⋮ Log-concavity of the restricted partition function \(p_{\mathcal{A}}(n, k)\) and the new Bessenrodt-Ono type inequality ⋮ Asymptotic equidistribution for partition statistics and topological invariants ⋮ Inequalities for plane partitions ⋮ Effective bounds for traces of weak Maass forms ⋮ Polynomization of the Chern-Fu-Tang conjecture ⋮ Bounds for coefficients of the \(f(q)\) mock theta function and applications to partition ranks ⋮ Asymptotic distribution of the partition crank ⋮ Effective bounds for traces of singular moduli ⋮ Proof of the Bessenrodt-Ono inequality by induction ⋮ An effective bound for the partition function ⋮ On a new class of Laguerre-Pólya type functions with applications in number theory ⋮ Variants of an partition inequality of Bessenrodt-Ono ⋮ Fractional partitions and conjectures of Chern–Fu–Tang and Heim–Neuhauser

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