ON THE EXPANSION OF A CONTINUED FRACTION OF ORDER TWELVE

DOI10.1142/S1793042113500723zbMath1335.11008OpenAlexW2135643877MaRDI QIDQ2870229

Bernard L. S. Lin

Publication date: 17 January 2014

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

Full work available at URL: https://doi.org/10.1142/s1793042113500723

zbMATH Keywords

continued fractionpower series expansiondissectionperiodicity of sign of coefficients

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Continued fractions (11A55) Continued fractions; complex-analytic aspects (30B70)

Related Items (10)

The 5-dissections of two infinite product expansions ⋮ THE LEVEL 12 ANALOGUE OF RAMANUJAN’S FUNCTION ⋮ Field inversion for data-augmented RANS modelling in turbomachinery flows ⋮ Vanishing coefficients in quotients of theta functions with odd moduli ⋮ Vanishing coefficients in three families of products of theta functions ⋮ Modular identities and dissections of continued fractions of order thirty-two ⋮ 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

• Arithmetic properties of partitions with even parts distinct
• On the 2- and 4-dissections of Ramanujan's continued fraction and its reciprocal
• A continued fraction of order twelve
• Generalisations of some theorems of Ramanujan
• 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
• On the 4-dissections of certain infinite products
• New Ramanujan-like congruences modulo powers of 2 and 3 for overpartitions
• The periodicity of the signs of the coefficients of certain infinite products
• THE 8-DISSECTION OF THE RAMANUJAN–GÖLLNITZ–GORDON CONTINUED FRACTION BY AN ITERATIVE METHOD
• ON THE SERIES EXPANSION OF THE GÖLLNITZ–GORDON CONTINUED FRACTION
• A conjecture of Hirschhorn on the 4-dissection of Ramanujan's continued fraction

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