L.--C. Shen, On the additive formulae of the theta functions and a collection of Lambert series pertaining to the modular equations of degree 5, Trans. Amer. Math. Soc. 345 (1994), 323--345. Home/Search Document Not in Database Summary Related Articles |
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Fragments by Ramanujan on Lambert Series - Berndt (Correct)
....results in Sections 33 and 34 in Chapter 16 [1, pp. 52 61] and his 1 1 summation formula [1, pp. 32 34] A. Cauchy [8] 9, pp. 55 64] and others have employed contour integration. Systematic derivations of large classes of Lambert series identities have been carried out by L. C. Shen [26] [27]. The numberings below are those given by Ramanujan in the two fragments. Apparently, the first fragment is a rough draft of a section that he planned to put in a paper, while the second fragment seems to be a final draft of a section of a proposed paper. Entry 1 (formula (3.12) p. 356) 4 ....
L.--C. Shen, On the additive formulae of the theta functions and a collection of Lambert series pertaining to the modular equations of degree 5, Trans. Amer. Math. Soc. 345 (1994), 323--345.
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