Representations by octonary quadratic forms with coefficients 1, 2, 3 or 6

DOI10.1142/S1793042117500385zbMath1416.11053MaRDI QIDQ2969723

Ayşe Alaca, M. Nesibe Kesicioğlu

Publication date: 23 March 2017

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

zbMATH Keywords

Eisenstein seriesrepresentationsmodular formstheta functionscusp formsoctonary quadratic formsEisenstein formsDedekind eta function, eta quotients

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 (2)

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