On 2- and 4-dissections for some infinite products

DOI10.1216/RMJ-2013-43-6-2033zbMath1345.11006OpenAlexW1974128809MaRDI QIDQ2439542

Yanyan Li

Publication date: 14 March 2014

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1393336668

zbMATH Keywords

theta functionsRamanujan's continued fractioninfinite product

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Continued fractions (11A55) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (2)

The 5-dissections of two infinite product expansions ⋮ On 5- and 10-dissections for some infinite products

Cites Work

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• On a continued fraction of order six
• On the 2- and 4-dissections of Ramanujan's continued fraction and its reciprocal
• Ramanujan's ``lost notebook. III: The Rogers-Ramanujan continued fraction
• On the expansion of Ramanujan's continued fraction
• On the expansion of a continued fraction of Gordon
• The periodicity of the signs of the coefficients of certain infinite products
• Some continued fractions of the Rogers-Ramanujan type
• THE 8-DISSECTION OF THE RAMANUJAN–GÖLLNITZ–GORDON CONTINUED FRACTION BY AN ITERATIVE METHOD
• A conjecture of Hirschhorn on the 4-dissection of Ramanujan's continued fraction

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