Representations by Certain Sextenary Quadratic Forms Whose Coefficients Are 1, 2, 3 and 6 - Advances in Pure Mathematics

APM > Vol.6 No.4, March 2016

Advances in Pure Mathematics

Volume 6, Issue 4 (March 2016)

ISSN Print: 2160-0368 ISSN Online: 2160-0384

Google-based Impact Factor: 0.50 Citations h5-index & Ranking

Representations by Certain Sextenary Quadratic Forms Whose Coefficients Are 1, 2, 3 and 6 ()

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Download as PDF (Size: 1169KB) PP. 212-296

DOI: 10.4236/apm.2016.64018 2,110 Downloads 2,886 Views

Author(s)

Barış Kendirli^*

Affiliation(s)

Istanbul Aydian University, Istanbul, Turkey.

ABSTRACT

Here, we determine formulae, for the numbers of representations of a positive integer by certain sextenary quadratic forms whose coefficients are 1, 2, 3 and 6.

KEYWORDS

Sextenary Quadratic Forms, Representations, Theta Functions, Dedekind Eta Function, Eisenstein Series, Eisenstein Forms, Modular Forms, Cusp Forms

Share and Cite:

Kendirli, B. (2016) Representations by Certain Sextenary Quadratic Forms Whose Coefficients Are 1, 2, 3 and 6. Advances in Pure Mathematics, 6, 212-296. doi: 10.4236/apm.2016.64018.

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