{"id":2938,"date":"2026-01-03T20:48:02","date_gmt":"2026-01-03T20:48:02","guid":{"rendered":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/?page_id=2938"},"modified":"2026-01-26T12:06:31","modified_gmt":"2026-01-26T12:06:31","slug":"new-eisenstein-series-identities-for-the-ramanujan-gollnitz-gordon-continued-fraction-and-combinatorial-partition-identities","status":"publish","type":"page","link":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/new-eisenstein-series-identities-for-the-ramanujan-gollnitz-gordon-continued-fraction-and-combinatorial-partition-identities\/","title":{"rendered":"New Eisenstein series identities for the Ramanujan-G\u00f6llnitz-Gordon continued fraction and combinatorial partition identities"},"content":{"rendered":"\n
<\/div>\n\n\n\n
\n
<\/div>\n\n\n\n
\n
\"\"<\/figure>\n<\/div>\n\n\n\n
\n

Moroccan Journal of Algebra and Geometry with Applications<\/strong><\/p>\n\n\n\n

Latest articles<\/a><\/p>\n<\/div>\n\n\n\n

\n
<\/div>\n<\/div>\n\n\n\n
<\/div>\n\n\n\n
<\/div>\n<\/div>\n\n\n\n

<\/p>\n\n\n\n

\n
\n

New Eisenstein series identities for the Ramanujan-G\u00f6llnitz-Gordon
continued fraction and combinatorial partition identities<\/strong><\/p>\n<\/div>\n<\/div>\n\n\n\n

Mahendra Mal Chaudhary\\,^1<\/span> and Ananda Rathna Kumara Vanitha<\/strong>\\,^2<\/span><\/i>
\\,^{1}<\/span> International Scientific Research and Welfare Organization, New Delhi, India.
\\,^{2}<\/span> Department of Mathematics, The National Institute of Engineering, Mysuru 570008, Karnataka, India.<\/p>\n\n\n\n


<\/p>\n\n\n\n

<\/div>\n\n\n\n

Pages 198-206 | Received 29 August 2024, Accepted 09 March 2025, Published 26 January 2026 <\/span><\/p>\n\n\n\n

<\/div>\n\n\n\n
\n
<\/div>\n\n\n\n
\n
<\/div>\n\n\n\n

Abstract<\/span><\/strong><\/p>\n\n\n\n

In this paper, we establish several new Eisenstein series identities associated with Ramanujan-G\u00f6llnitz-Gordon continued fraction. We further derive inter relationships between Eisenstein series identities and combinatorial partition identities.<\/p>\n\n\n\n

<\/p>\n\n\n\n

Keywords<\/strong>:<\/span> Continued fraction, Eisenstein series, combinatorial partition identities.<\/p>\n\n\n\n

<\/p>\n\n\n\n

MSC numbers<\/strong>:<\/span> Primary 11A55, 11M36; Secondary 11P83.<\/p>\n\n\n\n

<\/p>\n\n\n\n

Downloads:<\/strong> Full-text PDF<\/a><\/p>\n<\/div>\n\n\n\n

<\/div>\n<\/div>\n\n\n\n
\n
<\/div>\n\n\n\n
16<\/a><\/div>\n\n\n\n
<\/div>\n<\/div>\n\n\n\n
<\/div>\n\n\n\n
\n
\n
\n
Previous article <\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n
\n
\n
View<\/strong> issue table of contents<\/a><\/div>\n<\/div>\n<\/div>\n\n\n\n
\n
\n
Next<\/strong> article<\/a><\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

Moroccan Journal of Algebra and Geometry with Applications Latest articles New Eisenstein series identities for the Ramanujan-G\u00f6llnitz-Gordon continued fraction and combinatorial partition identities Mahendra Mal Chaudhary and Ananda Rathna Kumara Vanitha International Scientific Research and Welfare Organization, New Delhi, India. Department of Mathematics, The National Institute of Engineering, Mysuru 570008, Karnataka, India. Pages 198-206 | Read More<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"template-page-builder.php","meta":{"footnotes":""},"class_list":["post-2938","page","type-page","status-publish","hentry","entry"],"_links":{"self":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2938","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/comments?post=2938"}],"version-history":[{"count":3,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2938\/revisions"}],"predecessor-version":[{"id":2998,"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/pages\/2938\/revisions\/2998"}],"wp:attachment":[{"href":"https:\/\/ced.fst-usmba.ac.ma\/p\/mjaga\/wp-json\/wp\/v2\/media?parent=2938"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}