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Modular equations of a continued fraction of order six

Modular equations of a continued fraction of order six

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_5402ef3eb1ce41e99b9ea9f3bd753280

Modular equations of a continued fraction of order six

About this item

Full title

Modular equations of a continued fraction of order six

Author / Creator

Publisher

Warsaw: De Gruyter

Journal title

Open mathematics (Warsaw, Poland), 2019-04, Vol.17 (1), p.202-219

Language

English

Formats

Publication information

Publisher

Warsaw: De Gruyter

More information

Scope and Contents

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

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_doaj_primary_oai_doaj_org_article_5402ef3eb1ce41e99b9ea9f3bd753280

Permalink

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

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