An Unpublished Manuscript of Ramanujan on Infinite Series Identities

IF 0.3 4区 数学 Q4 MATHEMATICS Journal of the Ramanujan Mathematical Society Pub Date : 2013-01-01 DOI:10.1007/978-1-4614-4081-9_12
G. Andrews, B. Berndt
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Journal of the Ramanujan Mathematical Society
Journal of the Ramanujan Mathematical Society MATHEMATICS-
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Congruences for the coefficients of the Gordon and McIntosh mock theta function ξ(q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \beg On decomposition of θ22n(τ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\theta _2^{2n}(\tau )$$\end{document} as th Some remarks on Kida’s formula when μ≠0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\mu \ne 0$$\end{document} A new extension of the (H.2) supercongruence of Van Hamme for primes p≡3(mod4)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{doc Positive alternating sums of integer partitions
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