Circular summations of theta functions in Ramanujan's lost notebook

DOI10.1023/B:RAMA.0000040483.55191.d1zbMath1062.11023OpenAlexW2050882692MaRDI QIDQ1770971

Seung Hwan Son

Publication date: 7 April 2005

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

Full work available at URL: https://doi.org/10.1023/b:rama.0000040483.55191.d1

zbMATH Keywords

theta functions

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Classical hypergeometric functions, ({}_2F_1) (33C05) Elliptic functions and integrals (33E05)

Related Items (12)

Circular summation of theta functions in Ramanujan's lost notebook ⋮ 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 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 ⋮ On the circular summation of the eleventh powers of Ramanujan's theta function ⋮ A note for Ramanujan's circular summation formula

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