The Rogers-Ramanujan continued fraction and a new Eisenstein series identity

DOI10.1016/j.jnt.2009.01.014zbMath1170.33006OpenAlexW1994461953MaRDI QIDQ1024544

Song Heng Chan, Zhi-Guo Liu, Heng Huat Chan

Publication date: 17 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2009.01.014

zbMATH Keywords

Eisenstein seriestheta functionelliptic functionRogers-Ramanujan continued fraction

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Theta series; Weil representation; theta correspondences (11F27) Holomorphic modular forms of integral weight (11F11) Continued fractions (11A55) Dedekind eta function, Dedekind sums (11F20) Elliptic functions and integrals (33E05) Partition identities; identities of Rogers-Ramanujan type (11P84)

Related Items (6)

On the Andrews-Schur proof of the Rogers-Ramanujan identities ⋮ Factorizations that involve Ramanujan's function \(k(q)=r(q)r^2(q^2)\) ⋮ On quintic Eisenstein series and points of order five of the Weierstrass elliptic functions ⋮ On a continued fraction of order twelve and new Eisenstein series identities ⋮ Continued fractions of order six and new Eisenstein series identities ⋮ The Rogers-Ramanujan continued fraction and its level 13 analogue

Cites Work

• Ramanujan's ``lost notebook. III: The Rogers-Ramanujan continued fraction
• A trinomial analogue of Bailey's lemma and \(N=2\) superconformal invariance
• Uniform proofs of \(q\)-series-product identities
• On Ramanujan's continued fraction
• Representations of certain binary quadratic forms as Lambert series
• An Easy Proof of the Triple-Product Identity
• The continued fractions found in the unorganized portions of Ramanujan’s notebooks
• Some Theorems on the Rogers–Ramanujan Continued Fraction in Ramanujan’s Lost Notebook
• Shorter Notes: A Simple Proof of Jacobi's Triple Product Identity
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