Copy For Citation
Alaca A., Kesicioglu M. N.
INTERNATIONAL JOURNAL OF NUMBER THEORY, vol.11, no.8, pp.2353-2368, 2015 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
11
Issue:
8
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Publication Date:
2015
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Doi Number:
10.1142/s1793042115501080
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Journal Name:
INTERNATIONAL JOURNAL OF NUMBER THEORY
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus
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Page Numbers:
pp.2353-2368
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Keywords:
Octonary quadratic forms, representations, theta functions, Dedekind eta function, eta quotients, eta products, modular forms, Eisenstein series, Eisenstein forms, cusp forms
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Recep Tayyip Erdoğan University Affiliated:
Yes
Abstract
Using modular forms, we determine the number of representations of a positive integer by diagonal octonary quadratic forms with coefficients 1, 3 or 9.