REPRESENTATIONS BY CERTAIN OCTONARY QUADRATIC FORMS WHOSE COEFFICIENTS ARE 1, 2, 3 AND 6

DOI10.1142/S1793042113500851zbMath1283.11066MaRDI QIDQ5746421

Şaban Alaca, Yavuz Kesicioğlu

Publication date: 18 February 2014

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

zbMATH Keywords

Eisenstein seriesrepresentationsmodular formstheta functionscusp formsDedekind eta functionoctonary quadratic formsEisenstein forms

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) Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Dedekind eta function, Dedekind sums (11F20)

Related Items (6)

The convolution sum $\sum_{al+bm=n} \sigma(l) \sigma(m)$ for $(a,b)=(1,28), (4,7), (1,14), (2,7), (1,7)$ ⋮ 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 \(S_3(\Gamma_{0}(24),\chi)\) ⋮ 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 ⋮ Representations by certain octonary quadratic forms with coefficients 1, 2, 5 and 10

Cites Work

• The number of representations of a positive integer by certain octonary quadratic forms
• Eta Products and Theta Series Identities
• THE REPRESENTATION NUMBERS OF THREE OCTONARY QUADRATIC FORMS
• EVALUATION OF THE CONVOLUTION SUMS ∑_l+15m=nσ(l)σ(m) AND ∑_3l+5m=nσ(l)σ(m) AND AN APPLICATION
• FOURTEEN OCTONARY QUADRATIC FORMS
• Ramanujan-type congruences for three colored Frobenius partitions

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