Polynomials and reciprocals of Eisenstein series

DOI10.1142/S1793042120400199zbMath1468.11104OpenAlexW3080743063MaRDI QIDQ5857397

Markus Neuhauser, Bernhard E. Heim

Publication date: 1 April 2021

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

Full work available at URL: https://doi.org/10.1142/s1793042120400199

zbMATH Keywords

polynomialsEisenstein seriesrecurrence relationsFourier coefficientsRamanujanmeromorphic modular forms

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Recurrences (11B37) Fourier coefficients of automorphic forms (11F30) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Real polynomials: location of zeros (26C10)

Related Items

Asymptotic expansion of Fourier coefficients of reciprocals of Eisenstein series ⋮ Estimate for the largest zeros of the D'Arcais polynomials ⋮ On the growth and zeros of polynomials attached to arithmetic functions ⋮ Asymptotic distribution of the zeros of recursively defined non-orthogonal polynomials

Cites Work

• Ramanujan and coefficients of meromorphic modular forms
• On the reciprocal of Klein's absolute \(j\)-invariant and sign changes
• A problem of Petersson about weight 0 meromorphic modular forms
• On an elementary proof of some asymptotic formulas in the theory of partitions
• On the power series coefficients of certain quotients of Eisenstein series
• On the Zeros of Eisenstein Series
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