Evaluation of some convolution sums and representation of integers by certain quadratic forms in 12 variables

DOI10.1142/S1793042117500415zbMath1416.11012MaRDI QIDQ2969727

Bülent Köklüce, Hasan Eser

Publication date: 23 March 2017

Published in: International Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

Eisenstein seriesquadratic formsconvolution sumsrepresentation numberssum of divisors functions

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) General ternary and quaternary quadratic forms; forms of more than two variables (11E20) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (3)

Evaluation of Convolution Sums entailing mixed Divisor Functions for a Class of Levels ⋮ Evaluation of some convolution sums and representation of integers by certain quadratic forms in 12 variables ⋮ Unnamed Item

Cites Work

• Cusp forms in \(S_{6}(\varGamma_{0}(23))\), \(S_{8}(\varGamma_{0}(23))\) and the number of representations of numbers by some quadratic forms in 12 and 16 variables
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• The convolution sum \(\sum_{m<n/8} \sigma(m) \sigma(n-8m)\)
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• EVALUATION OF THE CONVOLUTION SUMS ∑_l+15m=nσ(l)σ(m) AND ∑_3l+5m=nσ(l)σ(m) AND AN APPLICATION
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