scientific article; zbMATH DE number 7069665
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Publication:5384185
zbMath1412.11007MaRDI QIDQ5384185
Publication date: 21 June 2019
Full work available at URL: http://math.colgate.edu/~integers/r49/r49.pdf
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General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Arithmetic functions; related numbers; inversion formulas (11A25)
Related Items (6)
EVALUATION OF CONVOLUTION SUMS AND FOR k = a · b = 21, 33, AND 35 ⋮ Evaluation of the convolution sums \(\Sigma_{al+bm=n}\,l \sigma(l)\sigma(m)\) with \(ab\leq 9\) ⋮ A simple extension of Ramanujan-Serre derivative map and some applications ⋮ Evaluation of certain convolution sums involving the sum of the divisors function ⋮ Convolution sums of a divisor function for prime levels ⋮ Evaluation of convolution sums \(\sum_{l+15m=n} \sigma (l) \sigma (m)\) and \(\sum_{3l+5m=n} \sigma (l) \sigma (m)\)
Cites Work
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- Evaluation of the convolution sum involving the sum of divisors function for 22, 44 and 52
- Evaluation of the convolution sums \(\sum _{l+6m=n}\sigma (l)\sigma (m)\) and \(\sum _{2l+3m=n}\sigma (l)\sigma (m)\)
- Powers of theta functions
- The convolution sum \(\sum_{m<n/8} \sigma(m) \sigma(n-8m)\)
- Quintic and septic Eisenstein series
- Evaluation of the convolution sums ∑l+36m=n σ(l)σ(m) and ∑4l+9m=n σ(l)σ(m)
- Eta Products and Theta Series Identities
- Evaluation of the convolution sum ∑i+25j=n σ(i)σ(j)
- Construction and Application of a Class of Modular Functions†
- 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)
- О представлении чисел суммами квадратичных форм $x_{1}^{2} + x_{1}x_{2} + x_{2}^{2}$
- EVALUATION OF THE CONVOLUTION SUMS ∑l+15m=nσ(l)σ(m) AND ∑3l+5m=nσ(l)σ(m) AND AN APPLICATION
- The Convolution Sum Σm<n/16σ(m)σ(n – 16m)
- Evaluation of two convolution sums involving the sum of divisors function
- Construction and Application of a Class of Modular Functions (II)†
- THE CONVOLUTION SUM $\sum\limits_{m<n/9}\sigma(m)\sigma(n-9m)$
- Evaluation of the convolution sums ∑l+27m=nσ(l)σ(m) and ∑l+32m=nσ(l)σ(m)
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