THE REPRESENTATION NUMBERS OF THREE OCTONARY QUADRATIC FORMS
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Publication:4909136
DOI10.1142/S1793042112501461zbMath1273.11010MaRDI QIDQ4909136
Publication date: 12 March 2013
Published in: International Journal of Number Theory (Search for Journal in Brave)
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 (11)
Representations by octonary quadratic forms with coefficients 1, 3 or 9 ⋮ Representations by certain octonary quadratic forms with coefficients 1, 3 or 9 ⋮ Representations by sextenary quadratic forms with coefficients 1, 2, 3 and 6 and on newforms in \(S_3(\Gamma_{0}(24),\chi)\) ⋮ Evaluation of certain convolution sums involving the sum of the divisors function ⋮ Representations by octonary quadratic forms with coefficients 1, 2, 3 or 6 ⋮ On the number of representations by certain octonary quadratic forms with coefficients 1, 2, 3, 4 and 6 ⋮ EVALUATION OF THE CONVOLUTION SUMS ∑l+15m=nσ(l)σ(m) AND ∑3l+5m=nσ(l)σ(m) AND AN APPLICATION ⋮ Evaluation of the convolution sums ∑l+27m=nσ(l)σ(m) and ∑l+32m=nσ(l)σ(m) ⋮ REPRESENTATIONS BY CERTAIN OCTONARY QUADRATIC FORMS WHOSE COEFFICIENTS ARE 1, 2, 3 AND 6 ⋮ On the number of representations of integers by sums of mixed numbers ⋮ Representations by certain octonary quadratic forms with coefficients 1, 2, 5 and 10
Cites Work
- Evaluation of the convolution sums \(\sum _{l+6m=n}\sigma (l)\sigma (m)\) and \(\sum _{2l+3m=n}\sigma (l)\sigma (m)\)
- The number of representations of a positive integer by certain octonary quadratic forms
- Seven octonary quadratic forms
- FOURTEEN OCTONARY QUADRATIC FORMS
- Nineteen quaternary quadratic forms
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