Ramanujan's function \(k\), revisited

DOI10.1007/s11139-020-00367-7zbMath1475.11066OpenAlexW3131015550MaRDI QIDQ2054712

Dongxi Ye

Publication date: 3 December 2021

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-020-00367-7

zbMATH Keywords

ray class fieldsPicard-Fuchs equationsmodular equationsRamanujan's function \(k\)

Mathematics Subject Classification ID

Modular and automorphic functions (11F03) Holomorphic modular forms of integral weight (11F11)

Related Items (1)

Analogue of Ramanujan’s function k(τ) for the cubic continued fraction

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the Picard-Fuchs equation and the formal Brauer group of certain elliptic \(K3\)-surfaces
• On Ramanujan's function \(k(q)=r(q)r^{2}(q^{2})\)
• Two modular equations for squares of the Rogers-Ramanujan functions with applications
• Arithmetic of the Ramanujan-Göllnitz-Gordon continued fraction
• Some theorems on the Rogers-Ramanujan continued fraction and associated theta function identities in Ramanujan's Lost Notebook
• Class invariants by Shimura's reciprocity law
• The equations for modular function fields of principal congruence subgroups of prime level
• Arithmetic properties of mirror map and quantum coupling
• Singular values of principal moduli
• Factorizations that involve Ramanujan's function \(k(q)=r(q)r^2(q^2)\)
• Some modular relations for Ramanujan's function \(k(q)=r(q)r^2(q^2)\)
• Arithmetic properties of Picard-Fuchs equations and holonomic recurrences
• On elliptic modular surfaces
• Elliptic Surfaces
• Über einige Anwendungen Dedekindscher Summen.
• CONSTRUCTION OF CLASS FIELDS OVER IMAGINARY QUADRATIC FIELDS AND APPLICATIONS
• Continued fractions and modular functions
• Large torsion subgroups of split Jacobians of curves of genus two or three

This page was built for publication: Ramanujan's function \(k\), revisited