Truncated Hecke-Rogers type series

DOI10.1016/j.aim.2020.107051zbMath1439.11269OpenAlexW3006318870MaRDI QIDQ2308306

Ae Ja Yee, Chun Wang

Publication date: 2 April 2020

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

Full work available at URL: https://doi.org/10.1016/j.aim.2020.107051

zbMATH Keywords

theta functionsEuler's pentagonal number theoremtruncated seriesGauss's identities

Mathematics Subject Classification ID

Combinatorial aspects of partitions of integers (05A17) Elementary theory of partitions (11P81)

Related Items (max. 100)

Infinite families of Hecke-Rogers type series and their truncated representations ⋮ Identities involving mock theta functions and theta functions ⋮ Truncated versions of three identities of Euler and Gauss ⋮ Linear inequalities concerning partitions into distinct parts ⋮ Further generalizations of some Hecke-type identities ⋮ Further extensions of some truncated Hecke type identities ⋮ Truncated sums for Hecke-Rogers type identities and Andrews-Hickerson's Bailey pair ⋮ Hecke-Rogers type series representations for infinite products ⋮ A common recursive formula for Ramanujan’s ₁𝜓₁ and Bailey’s very-well-poised ₆𝜓₆ summation formulas ⋮ Truncated Hecke-Rogers type series. II ⋮ Rogers-Ramanujan type identities and Chebyshev polynomials of the third kind ⋮ Unnamed Item ⋮ New truncated theorems for three classical theta function identities ⋮ Combinatorial proofs of the Ramanujan type congruences modulo \(3\)

Cites Work

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• A truncated Jacobi triple product theorem
• Proofs of two conjectures on truncated series
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• Bilateral truncated Jacobi's identity
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• A \(q\)-series expansion formula and the Askey-Wilson polynomials
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• Another approach to the Truncated Pentagonal Number Theorem
• Hecke Modular Forms and the KAC-Peterson Identities
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND AN ANALOG OF HIS "MOST BEAUTIFUL IDENTITY"
• RAMANUJAN'S CUBIC CONTINUED FRACTION AND RAMANUJAN TYPE CONGRUENCES FOR A CERTAIN PARTITION FUNCTION
• The Fifth and Seventh Order Mock Theta Functions
• A Short Proof of an Identity of Euler

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