Modular equations of a continued fraction of order six
Modular equations of a continued fraction of order six
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Publisher
Warsaw: De Gruyter
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Language
English
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Warsaw: De Gruyter
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Contents
We study a continued fraction
) of order six by using the modular function theory. We first prove the modularity of
), and then we obtain the modular equation of
) of level
for any positive integer
; this includes the result of Vasuki et al. for
= 2, 3, 5, 7 and 11. As examples, we present the explicit modular equation of level
Alternative Titles
Full title
Modular equations of a continued fraction of order six
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TN_cdi_doaj_primary_oai_doaj_org_article_5402ef3eb1ce41e99b9ea9f3bd753280
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_5402ef3eb1ce41e99b9ea9f3bd753280
Other Identifiers
ISSN
2391-5455
E-ISSN
2391-5455
DOI
10.1515/math-2019-0003