scientific article

zbMath1389.11006MaRDI QIDQ2970339

Barış Kendirli

Publication date: 30 March 2017

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

convolution sumsrepresentation numberquasimodular formsdivisor functions

Mathematics Subject Classification ID

Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20) Arithmetic functions; related numbers; inversion formulas (11A25) Hecke-Petersson operators, differential operators (one variable) (11F25)

Related Items (3)

Evaluation of certain convolution sums involving the sum of the divisors function ⋮ Evaluation of some convolution sums and representation of integers by certain quadratic forms in 12 variables ⋮ Convolution sums of a divisor function for prime levels

Cites Work

• Evaluation of the convolution sums \(\sum _{l+6m=n}\sigma (l)\sigma (m)\) and \(\sum _{2l+3m=n}\sigma (l)\sigma (m)\)
• The convolution sum \(\sum_{m<n/8} \sigma(m) \sigma(n-8m)\)
• EVALUATING CONVOLUTION SUMS OF THE DIVISOR FUNCTION BY QUASIMODULAR FORMS
• Evaluation of the convolution sums \sum_{l+18m=n} \sigma(l) \sigma(m) and \sum_{2l+9m=n} \sigma(l) \sigma(m)
• CONVOLUTION SUMS INVOLVING THE DIVISOR FUNCTION
• The Convolution Sum Σ_m<n/16σ(m)σ(n – 16m)
• Evaluation of two convolution sums involving the sum of divisors function
• THE CONVOLUTION SUM $\sum\limits_{m<n/9}\sigma(m)\sigma(n-9m)$
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