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scientific article; zbMATH DE number 7614162

Language	Label	Description	Also known as
English	No label defined	scientific article; zbMATH DE number 7614162

Statements

scholarly article

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Yoon Kyung Park

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publication date

9 November 2022

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zbMATH Keywords

convolution sums

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divisor function

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quasimodular form

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describes a project that uses

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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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The convolution sum $\sum_{al+bm=n} \sigma(l) \sigma(m)$ for $(a,b)=(1,28), (4,7), (1,14), (2,7), (1,7)$

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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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Convolution sums of a divisor function for prime levels

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Quintic and septic Eisenstein series

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Evaluation of the convolution sums ∑<sub>l+20m=n</sub> σ(l)σ(m), ∑<sub>4l+5m=n</sub> σ(l)σ(m) and ∑<sub>2l+5m=n</sub> σ(l)σ(m)

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Evaluation of the convolution sums ∑a1m1+a2m2+a3m3+a4m4=nσ(m1)σ(m2)σ(m3)σ(m4) with lcm(a1,a2,a3,a4) ≤ 4

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Evaluation of two convolution sums involving the sum of divisors function

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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 \(\sum_{ak+bl+cm}=\sigma(k)\sigma(l)\sigma(m)\) with \(\text{lcm}(a,b,c) \leq 6\)

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Evaluation of the convolution sums \(\Sigma_{al+bm=n}\,l \sigma(l)\sigma(m)\) with \(ab\leq 9\)

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Evaluation of the convolution sums ∑ak+bl+cm=nσ(k)σ(l)σ(m) with lcm(a,b,c) = 7,8 or 9

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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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Quasimodular forms: an introduction

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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

Mathematics Subject Classification ID

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zbMATH DE Number

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10.14317/JAMI.2022.813

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Sitelinks

Mathematics(1 entry)

mardi Publication:5046956

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