Some results on vanishing coefficients in infinite product expansions
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Publication:829844
DOI10.1007/S11139-019-00172-XzbMath1476.33010arXiv1908.07737OpenAlexW2969352977MaRDI QIDQ829844
Nayandeep Deka Baruah, Mandeep Kaur
Publication date: 6 May 2021
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.07737
Jacobi's triple product identityvanishing coefficients\(q\)-series expansionsinfinite \(q\)-products
Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Fourier coefficients of automorphic forms (11F30)
Related Items (12)
Results on vanishing coefficients in infinite \(q\)-series expansions for certain arithmetic progressions mod 7 ⋮ Several \(q\)-series related to Ramanujan's theta functions ⋮ Further results on Vanishing Coefficients in infinite products of the form (qb,qp−b;qp)∞3(qjb,q2p−jb;q2p)∞ ⋮ Vanishing coefficients of \(q^{5n+r}\) and \(q^{11n+r}\) in certain infinite \(q\)-product expansions ⋮ Vanishing coefficients in three families of products of theta functions ⋮ Results on vanishing coefficients in certain infinite \(q\)-series expansions ⋮ Vanishing coefficients in powers of theta functions with odd moduli ⋮ Vanishing coefficients in three families of products of theta functions. II ⋮ New infinite \(q\)-product expansions with vanishing coefficients ⋮ On 5- and 10-dissections for some infinite products ⋮ Generalizations of Hirschhorn’s Results on Two Remarkable q-Series Expansions ⋮ Vanishing coefficients and identities concerning Ramanujan's parameters
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