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Representations by Certain Sextenary Quadratic Forms Whose Coefficients Are 1, 2, 3 and 6
Istanbul Aydian University, Istanbul, Turkey
- 1 Istanbul Aydian University, Istanbul, Turkey
Advances in Pure Mathematics·Volume 06 (2016)·Pages 212–296·Published 15 March 2016·DOI10.4236/apm.2016.64018
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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.
KeywordsSextenary Quadratic FormsRepresentationsTheta FunctionsDedekind Eta FunctionEisenstein SeriesEisenstein FormsModular FormsCusp Forms
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