Ramanujan's Lost Notebook

DOI10.1007/b13290zbMath1180.11001OpenAlexW4212917267MaRDI QIDQ5450517

Bruce C. Berndt, George E. Andrews

Publication date: 12 March 2008

Full work available at URL: https://doi.org/10.1007/b13290

zbMATH Keywords

theta function identitiesbilateral seriespartial theta functionswell-poised seriesHeine transformationspecial identitiesBailey's lemma and theta expansionsEisenstein series and approximations to pEisenstein series and modular equationsformulas for the power series coefficients of quotients of Eisenstein seriesletters from Matlock Housemiscellaneous results on Eisenstein seriesmiscellaneous results on elliptic functions and theta functionsRamanujan's cubic class invariantSears-Thomae transformationseries representable in terms of Eisenstein series

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Research exposition (monographs, survey articles) pertaining to number theory (11-02) Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Holomorphic modular forms of integral weight (11F11) Continued fractions (11A55) Elementary theory of partitions (11P81) Research exposition (monographs, survey articles) pertaining to special functions (33-02) Elliptic functions and integrals (33E05) History of special functions (33-03)

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