A note for Ramanujan's circular summation formula
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Publication:5262274
DOI10.1080/10652469.2015.1028403zbMath1335.11032OpenAlexW2063622744MaRDI QIDQ5262274
Publication date: 13 July 2015
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652469.2015.1028403
theta functionselliptic functionstheta function identitiesRamanujan's circular summationimaginary transformation
Theta series; Weil representation; theta correspondences (11F27) Dedekind eta function, Dedekind sums (11F20) Elliptic functions and integrals (33E05)
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Cites Work
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- A note on a generalized circular summation formula of theta functions
- An elementary proof of Ramanujan's circular summation formula and its generalizations
- Circular summation of theta functions in Ramanujan's lost notebook
- On a new circular summation of theta functions
- A generalized circular summation of theta function and its application
- On the circular summation of the eleventh powers of Ramanujan's theta function
- Circular summation of the 13th powers of Ramanujan's theta function
- Circular summations of theta functions in Ramanujan's lost notebook
- The root lattice $A^*_n$ and Ramanujan’s circular summation of theta functions
- An alternate circular summation formula of theta functions and its applications
- SOME INVERSE RELATIONS AND THETA FUNCTION IDENTITIES
- Additive decompositions of θ-functions of multiple arguments
- Some new circular summation formulas of theta functions
- Ramanujan's Lost Notebook
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