4-dissections and 8-dissections for some infinite products

DOI10.1216/RMJ-2014-44-5-1685zbMath1318.11006OpenAlexW2034608725MaRDI QIDQ485891

Yong-Cai Geng, Sumit K. Garg

Publication date: 14 January 2015

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

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1420071562

zbMATH Keywords

theta function identity\(m\)-dissectionperiodicity of sign of coefficients

Mathematics Subject Classification ID

Continued fractions (11A55) Continued fractions; complex-analytic aspects (30B70)

Related Items (6)

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 5- and 10-dissections for some infinite products ⋮ Vanishing coefficients in two families of quotients of theta functions

Cites Work

• 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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