The asymptotic formulas for coefficients and algebraicity of Jacobi forms expressed by infinite product

DOI10.1016/j.jmaa.2018.10.096zbMath1408.11027OpenAlexW2898858772WikidataQ129074080 ScholiaQ129074080MaRDI QIDQ1633581

Sihun Jo, Seokho Jin

Publication date: 20 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2018.10.096

zbMATH Keywords

\(q\)-seriesJacobi formstheta functions

Mathematics Subject Classification ID

Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) (K3) surfaces and Enriques surfaces (14J28) Parametrization (Chow and Hilbert schemes) (14C05) Theta series; Weil representation; theta correspondences (11F27) Ramsey theory (05D10)

Related Items

On the algebraicity about the Hodge numbers of the Hilbert schemes of algebraic surfaces ⋮ Uniform asymptotic formulas for the Fourier coefficients of the inverse of theta functions

Cites Work

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• The asymptotic profile of \(\chi_y\)-genera of Hilbert schemes of points on \(K3\) surfaces
• A framework of Rogers-Ramanujan identities and their arithmetic properties
• The Betti numbers of the Hilbert scheme of points on a smooth projective surface
• Little strings and T-duality
• Asymptotic formulas for coefficients of inverse theta functions
• On Dyson’s crank conjecture and the uniform asymptotic behavior of certain inverse theta functions
• STACKS (II)