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scientific article; zbMATH DE number 7069665

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7069665

Statements

scholarly article

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Ebénézer Ntienjem

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publication date

21 June 2019

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full work available at URL

http://math.colgate.edu/~integers/r49/r49.pdf

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zbMATH Keywords

convolution sums

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MaRDI profile type

MaRDI publication profile

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Evaluation of the convolution sums \sum_{l+18m=n} \sigma(l) \sigma(m) and \sum_{2l+9m=n} \sigma(l) \sigma(m)

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The Convolution Sum Σ<sub><i>m</i><<i>n</i>/16</sub><i>σ</i>(<i>m</i>)<i>σ</i>(<i>n</i> – 16<i>m</i>)

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Evaluation of the convolution sums ∑l+27m=nσ(l)σ(m) and ∑l+32m=nσ(l)σ(m)

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Evaluation of the convolution sums \(\sum _{l+6m=n}\sigma (l)\sigma (m)\) and \(\sum _{2l+3m=n}\sigma (l)\sigma (m)\)

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Powers of theta functions

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Quintic and septic Eisenstein series

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Eta Products and Theta Series Identities

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Evaluation of two convolution sums involving the sum of divisors function

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О представлении чисел суммами квадратичных форм $x_{1}^{2} + x_{1}x_{2} + x_{2}^{2}$

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Construction and Application of a Class of Modular Functions†

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Construction and Application of a Class of Modular Functions (II)†

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Evaluation of the convolution sum involving the sum of divisors function for 22, 44 and 52

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EVALUATION OF THE CONVOLUTION SUMS ∑<sub>l+15m=n</sub>σ(l)σ(m) AND ∑<sub>3l+5m=n</sub>σ(l)σ(m) AND AN APPLICATION

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EVALUATING CONVOLUTION SUMS OF THE DIVISOR FUNCTION BY QUASIMODULAR FORMS

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THE CONVOLUTION SUM $\sum\limits_{m<n/9}\sigma(m)\sigma(n-9m)$

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The convolution sum \(\sum_{m<n/8} \sigma(m) \sigma(n-8m)\)

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Evaluation of the convolution sum ∑<sub>i+25j=n</sub> σ(i)σ(j)

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Evaluation of the convolution sums ∑<sub>l+36m=n</sub> σ(l)σ(m) and ∑<sub>4l+9m=n</sub> σ(l)σ(m)

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:5384185

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