Peak positions of strongly unimodal sequences

DOI10.1090/tran/7791zbMath1426.05006arXiv1806.03217OpenAlexW2962786464WikidataQ128632271 ScholiaQ128632271MaRDI QIDQ5241478

Robert C. Rhoades, Kathrin Bringmann, Karl Mahlburg, Chris Jennings-Shaffer

Publication date: 31 October 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1806.03217

zbMATH Keywords

strongly unimodal sequencespartition rankWright's circle methodunimodal rank

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial probability (60C05) Modular and automorphic functions (11F03) Asymptotic enumeration (05A16) Special sequences and polynomials (11B83) Automorphic forms, one variable (11F12)

Related Items (14)

Variations of central limit theorems and Stirling numbers of the first kind ⋮ Statistics for unimodal sequences ⋮ Asymptotics, Turán inequalities, and the distribution of the BG-rank and 2-quotient rank of partitions ⋮ Exact formulae and Turán inequalities for Vafa–Witten invariants of surfaces ⋮ Taylor coefficients of false Jacobi forms and ranks of unimodal sequences ⋮ On a Tauberian theorem of Ingham and Euler-Maclaurin summation ⋮ Limit shapes for unimodal sequences ⋮ Asymptotic equidistribution for partition statistics and topological invariants ⋮ Eventual log-concavity of \(k\)-rank statistics for integer partitions ⋮ On Selberg's central limit theorem for Dirichlet \(L\)-functions ⋮ The asymptotic distribution of the rank for unimodal sequences ⋮ A family of vector-valued quantum modular forms of depth two ⋮ Asymptotic distribution of odd balanced unimodal sequences with rank congruent to \(a\) modulo \(c\) ⋮ On weighted overpartitions related to some q-series in Ramanujan’s lost notebook

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