On the circular summation of the eleventh powers of Ramanujan's theta function

DOI10.1006/jnth.1998.2354zbMath0927.11025OpenAlexW2050373038MaRDI QIDQ1293685

Ken Ono

Publication date: 19 December 1999

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

Full work available at URL: https://doi.org/10.1006/jnth.1998.2354

zbMATH Keywords

\(q\)-seriespartition functioncircular summationexplicit closed formulasRamanujan's theta series

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Theta series; Weil representation; theta correspondences (11F27) Analytic theory of partitions (11P82)

Related Items (13)

Circular summation of theta functions in Ramanujan's lost notebook ⋮ Seven-modular lattices and a septic base Jacobi identity. ⋮ Circular summation formulas for theta function \(\vartheta_4(z| \tau)\) ⋮ Some Ramanujan-type circular summation formulas ⋮ An elementary proof of Ramanujan's circular summation formula and its generalizations ⋮ Some circular summation formulas for theta functions ⋮ Some new circular summation formulas of theta functions ⋮ The root lattice $A^*_n$ and Ramanujan’s circular summation of theta functions ⋮ On a new circular summation of theta functions ⋮ Some extensions for Ramanujan's circular summation formulas and applications ⋮ Some identities for the partition function ⋮ Ramanujan's circular summation, \(t\)-cores and twisted partition identities ⋮ A note for Ramanujan's circular summation formula

Cites Work

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• On a result of Ramanujan on theta functions
• Circular summations of theta functions in Ramanujan's lost notebook
• On Elliptic Curves with Complex Multiplication as Factors of the Jacobians of Modular Function Fields

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