THE REPRESENTATION NUMBERS OF CERTAIN OCTONARY QUADRATIC FORMS

DOI10.1142/S1793042113500164zbMath1273.11011OpenAlexW2095604971WikidataQ114072052 ScholiaQ114072052MaRDI QIDQ2840293

Bülent Köklüce

Publication date: 17 July 2013

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

Full work available at URL: https://doi.org/10.1142/s1793042113500164

zbMATH Keywords

quadratic formsconvolution sumsrepresentation numberssum of divisors functions

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Arithmetic functions; related numbers; inversion formulas (11A25)

Related Items (2)

On the number of representations of integers by sums of mixed numbers ⋮ REPRESENTATION NUMBERS OF TWO OCTONARY QUADRATIC FORMS

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 convolution sum \(\sum_{m<n/8} \sigma(m) \sigma(n-8m)\)
• Evaluation of the convolution sums \sum_{l+18m=n} \sigma(l) \sigma(m) and \sum_{2l+9m=n} \sigma(l) \sigma(m)
• THE CONVOLUTION SUM $\sum\limits_{m<n/9}\sigma(m)\sigma(n-9m)$
• Unnamed Item

This page was built for publication: THE REPRESENTATION NUMBERS OF CERTAIN OCTONARY QUADRATIC FORMS