On the equivalence of two fundamental theta identities
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Publication:2931005
DOI10.1142/S0219530514500559zbMath1379.11049arXiv1401.5368MaRDI QIDQ2931005
Publication date: 21 November 2014
Published in: Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1401.5368
theta functionsapplications of theta functionshistory of theta functionsidentities involving sums of products of theta functions
Theta series; Weil representation; theta correspondences (11F27) History of mathematics in the 19th century (01A55)
Related Items (17)
Theta vocabulary. II: Multidimensional case ⋮ Elliptic function based algorithms to prove Jacobi theta function relations ⋮ Zeros of the i.i.d. Gaussian Laurent series on an annulus: weighted Szegő kernels and permanental-determinantal point processes ⋮ A common recursive formula for Ramanujan’s ₁𝜓₁ and Bailey’s very-well-poised ₆𝜓₆ summation formulas ⋮ The Kronecker theta function and a decomposition theorem for theta functions. I ⋮ ON THE TENTH-ORDER MOCK THETA FUNCTIONS ⋮ A new elliptic interpolation formula via the $(f,g)$-inversion ⋮ On some quadratic algebras. I \(\frac{1}{2}\): Combinatorics of Dunkl and Gaudin elements, Schubert, Grothendieck, Fuss-Catalan, universal Tutte and reduced polynomials ⋮ On Ramanujan's lost notebook and new tenth‐order like identities for second‐, sixth‐, and eighth‐order mock theta functions ⋮ Nonterminating transformations and summations associated with some \(q\)-Mellin-Barnes integrals ⋮ An equivalency of Bailey’s very-well-poised $_6\psi _6$ summation and Weierstrass’ theta function identity ⋮ Excursion processes associated with elliptic combinatorics ⋮ Properties of the Appell-Lerch function (I) ⋮ Transformations of basic hypergeometric series from the viewpoint of substitution of parameter operators ⋮ On a generalized Weierstrass theta identity ⋮ Theta vocabulary. I ⋮ Connection problems for quantum affine KZ equations and integrable lattice models
Uses Software
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