Some new circular summation formulas of theta functions
From MaRDI portal
Publication:5404157
DOI10.1080/10652469.2014.883388zbMath1284.11074OpenAlexW2023311212MaRDI QIDQ5404157
Qiu-Ming Luo, Ya-Qing Bi, Yi Cai
Publication date: 21 March 2014
Published in: Integral Transforms and Special Functions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10652469.2014.883388
Theta series; Weil representation; theta correspondences (11F27) Dedekind eta function, Dedekind sums (11F20) Elliptic functions and integrals (33E05)
Related Items (4)
Circular summation formulas for theta function \(\vartheta_4(z| \tau)\) ⋮ Some Ramanujan-type circular summation formulas ⋮ Some extensions for Ramanujan's circular summation formulas and applications ⋮ A note for Ramanujan's circular summation formula
Cites Work
- Unnamed Item
- 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 an identity of theta functions obtained from weight enumerators of linear codes
- On the circular summation of the eleventh powers of Ramanujan's theta function
- On a result of Ramanujan on theta functions
- Circular summation of the 13th powers of Ramanujan's theta function
- Circular summations of theta functions in Ramanujan's lost notebook
- Some circular summation formulas for theta functions
- 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
- Ramanujan's Lost Notebook
This page was built for publication: Some new circular summation formulas of theta functions
