A note on a generalized circular summation formula of theta functions
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Publication:413418
DOI10.1016/j.jnt.2011.12.016zbMath1273.11075arXiv1202.1869OpenAlexW2964309967MaRDI QIDQ413418
Publication date: 7 May 2012
Published in: Journal of Number Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1202.1869
Combinatorial identities, bijective combinatorics (05A19) Theta series; Weil representation; theta correspondences (11F27) Jacobi forms (11F50) Elliptic functions and integrals (33E05)
Related Items (7)
SOME INVERSE RELATIONS AND THETA FUNCTION IDENTITIES ⋮ Circular summation formulas for theta function \(\vartheta_4(z| \tau)\) ⋮ Some Ramanujan-type circular summation formulas ⋮ Some circular summation formulas for theta functions ⋮ Some new circular summation formulas of theta functions ⋮ Some extensions for Ramanujan's circular summation formulas and applications ⋮ A note for Ramanujan's circular summation formula
Cites Work
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- The products of three theta functions and the general cubic theta functions
- 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
- Unification of the cubic analogues of the Jacobian theta-function
- Cubic identities for theta series in three variables
- Additive decompositions of θ-functions of multiple arguments
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