On the Additive Formulae of the Theta Functions and a Collection of Lambert Series Pertaining to the Modular Equations of Degree 5
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Publication:4310788
DOI10.2307/2154606zbMath0808.33014OpenAlexW4232496426MaRDI QIDQ4310788
Publication date: 3 November 1994
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2307/2154606
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Related Items (22)
On the Gosper's \(q\)-constant \(\Pi_q\) ⋮ Circular summation formulas for theta function \(\vartheta_4(z| \tau)\) ⋮ Additive formulae of theta functions and modular equations of degree five ⋮ Proofs for two \(q\)-trigonometric identities of Gosper ⋮ The trisecant identity and operator theory ⋮ Some Ramanujan-type circular summation formulas ⋮ On a theta product of Jacobi and its applications to \(q\)-gamma products ⋮ The Kronecker theta function and a decomposition theorem for theta functions. I ⋮ Proofs for certain \(\Pi_q\)-identities of W. Gosper ⋮ Stanley's Lemma and Multiple Theta Functions ⋮ Proving some identities of Gosper on $q$-trigonometric functions ⋮ Solving some \(q\)-trigonometric conjectures of Gosper ⋮ Basic functional equations of the Rogers-Ramanujan functions ⋮ Proof for a \(q\)-trigonometric identity of Gosper ⋮ On Ramanujan's function \(k(q)=r(q)r^{2}(q^{2})\) ⋮ Ramanujan's identities and representation of integers by certain binary and quaternary quadratic forms ⋮ Some extensions for Ramanujan's circular summation formulas and applications ⋮ A generalized circular summation of theta function and its application ⋮ On series identities of Gosper and integrals of Ramanujan theta function 𝜓(𝑞) ⋮ On certain identities of Ramanujan ⋮ On certain trigonometric identities ⋮ Confirming a $q$-trigonometric conjecture of Gosper
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