Hyperbolicity of the partition Jensen polynomials

DOI10.1007/s40993-019-0157-yzbMath1466.11073arXiv1904.12727OpenAlexW2936575550MaRDI QIDQ2316345

Hannah K. Larson, Ian Wagner

Publication date: 26 July 2019

Published in: Research in Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.12727

zbMATH Keywords

hyperbolicityJensen polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Polynomials and rational functions of one complex variable (30C10) Analytic theory of partitions (11P82) Analytic computations (11Y35)

Related Items (20)

Jensen polynomials for holomorphic functions ⋮ Inequalities for the overpartition function ⋮ Limits of Jensen polynomials for partitions and other sequences ⋮ Hyperbolicity of Appell polynomials of functions in the \(\delta \)-Laguerre-Pólya class ⋮ Exact formulae for the fractional partition functions ⋮ Laguerre inequalities for discrete sequences ⋮ Higher order Turán inequalities for Boros-Moll sequences ⋮ Turán inequalities for \(k\)-th power partition functions ⋮ Inequalities for the overpartition function arising from determinants ⋮ 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 ⋮ Higher order log-concavity of the overpartition function and its consequences ⋮ Higher order Turán inequalities for \(k\)-regular partitions ⋮ Inequalities for the broken \(k\)-diamond partition functions ⋮ A note on the higher order Turán inequalities for \(k\)-regular partitions ⋮ Higher order Turán inequalities for combinatorial sequences ⋮ Turán inequalities for the plane partition function ⋮ On a new class of Laguerre-Pólya type functions with applications in number theory ⋮ Positivity of the determinants of the partition function and the overpartition function ⋮ THE SECOND SHIFTED DIFFERENCE OF PARTITIONS AND ITS APPLICATIONS

Cites Work

• Log-concavity of the partition function
• Sur les entiers n pour lesquels il y à beaucoup de groupes abéliens d'ordre \(n\)
• Jensen polynomials for the Riemann zeta function and other sequences
• The spt-function of Andrews

This page was built for publication: Hyperbolicity of the partition Jensen polynomials