Arithmetic properties derived from coefficients of certain eta quotients

DOI10.1186/s13660-020-02368-yzbMath1503.11010OpenAlexW3028767896MaRDI QIDQ2069391

Yan Li, Daeyeoul Kim, Jihyun Hwang

Publication date: 20 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-020-02368-y

zbMATH Keywords

\(q\)-seriesconvolution sumseta quotientrestricted divisor functions

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Theta series; Weil representation; theta correspondences (11F27) Dedekind eta function, Dedekind sums (11F20) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (2)

A STUDY OF COFFICIENTS DERIVED FROM ETA FUNCTIONS ⋮ Unnamed Item

Cites Work

• A quick combinatorial proof of Eisenstein series identities
• Convolution identities for twisted Eisenstein series and twisted divisor functions
• The power series expansion of certain infinite products \newline \(q^{r}\prod_{n=1}^{\infty}(1-q^{n})^{a_{1}}(1-q^{2n})^{a_{2}}\cdots(1-q^{mn})^{a_{m}}\)
• FOURIER SERIES OF A CLASS OF ETA QUOTIENTS
• Evaluation of the convolution sums ∑ak+bl+cm=nσ(k)σ(l)σ(m) with lcm(a,b,c) = 7,8 or 9
• CONVOLUTION SUMS ARISING FROM DIVISOR FUNCTIONS
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