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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DOI: 10.1142/s1793042117501160
Abstract: The generating functions of divisor functions are quasimodular forms of weight 2 and the product of them is a quasimodular form of higher weight. In this work, we evaluate the convolution sums ∑a1m1+a2m2+a3m3+a4m4=nσ(m1)σ(m2)σ(m3)σ(m4) for the… read more here.
Keywords: a1m1 a2m2; a3m3 a4m4; convolution sums; sums a1m1 ... See more keywords
Estimates of shifted convolution sums involving Fourier coefficients of Hecke–Maass eigenform
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DOI: 10.1142/s1793042121500524
Abstract: We obtain certain estimates for averages of shifted convolution sums involving the Fourier coefficients of a normalized Hecke–Maass eigenform and holomorphic cusp form. read more here.
Keywords: sums involving; fourier coefficients; involving fourier; hecke maass ... See more keywords
Evaluation of the convolution sums ∑al+bm=n lσ(l) σ(m) with ab ≤ 9
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DOI: 10.1515/math-2017-0116
Abstract: Abstract The generating functions of divisor functions are quasimodular forms of weight 2 and their products belong to a space of quasimodular forms of higher weight. In this article, we evaluate the convolution sums ∑al+bm=nlσ(l)σ(m)… read more here.
Keywords: evaluation convolution; convolution; convolution sums;