Ramanujan's ``lost notebook. IX: The partial theta function as an entire function

DOI10.1016/j.aim.2004.03.013zbMath1067.11063OpenAlexW2044620151MaRDI QIDQ702706

George E. Andrews

Publication date: 17 January 2005

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2004.03.013

zbMATH Keywords

entire functionspartial theta functions

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Elementary theory of partitions (11P81) Meromorphic functions of one complex variable (general theory) (30D30) Elliptic functions and integrals (33E05)

Related Items (14)

Zeros of entire functions and a problem of Ramanujan ⋮ Scaled asymptotics for \(q\)-orthogonal polynomials ⋮ The leading root of the partial theta function ⋮ A simple algorithm for expanding a power series as a continued fraction ⋮ Matrix quantum mechanics on \(S^1 / \mathbb{Z}_2\) ⋮ On complete monotonicity of certain special functions ⋮ Unnamed Item ⋮ On the Andrews-Warnaar identities for partial theta functions ⋮ BILATERAL BAILEY LEMMA AND FALSE THETA FUNCTIONS ⋮ Remarks on Ramanujan function \(A_q(z)\) ⋮ Sums of zeros for certain special functions ⋮ The meaning of Ramanujan now and for the future ⋮ ASYMPTOTICS OF ZEROS OF CERTAIN ENTIRE FUNCTIONS ⋮ Completely Monotonic Fredholm Determinants

Cites Work

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• Ramanujan's ``Lost notebook. VIII: The entire Rogers-Ramanujan function
• A useful Banach algebra
• A Generalization of the Gollnitz-Gordon Partition Theorems

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