THE 8-DISSECTION OF THE RAMANUJAN–GÖLLNITZ–GORDON CONTINUED FRACTION BY AN ITERATIVE METHOD

DOI10.1142/S1793042111004824zbMath1231.11011OpenAlexW2006811856MaRDI QIDQ3173458

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Publication date: 10 October 2011

Published in: International Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793042111004824

zbMATH Keywords

iterative methodRamanujan-Göllnitz-Gordon continued fraction8-dissection

Mathematics Subject Classification ID

Continued fractions (11A55)

Related Items (9)

Vanishing coefficients in quotients of theta functions with odd moduli ⋮ Vanishing coefficients in three families of products of theta functions ⋮ Vanishing coefficients in powers of theta functions with odd moduli ⋮ Vanishing coefficients in three families of products of theta functions. II ⋮ On 2- and 4-dissections for some infinite products ⋮ 4-dissections and 8-dissections for some infinite products ⋮ Finding modular functions for Ramanujan-type identities ⋮ Vanishing coefficients in two families of quotients of theta functions ⋮ ON THE EXPANSION OF A CONTINUED FRACTION OF ORDER TWELVE

Cites Work

• On the expansion of a continued fraction of Gordon
• New modular relations for the Göllnitz-Gordon functions.
• The periodicity of the signs of the coefficients of certain infinite products
• Some new proofs of modular relations for the Göllnitz-Gordon functions
• Some continued fractions of the Rogers-Ramanujan type

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