On the remainders and convergence of the series for the partition function
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- Trans. Amer. Math. Soc. 46 (1939), 362-373 Request permission
Erratum: Trans. Amer. Math. Soc. 259 (1980), 318-318.
References
- G. H. Hardy and S. Ramanujan, Asymptotic formulæin combinatory analysis [Proc. London Math. Soc. (2) 17 (1918), 75–115], Collected papers of Srinivasa Ramanujan, AMS Chelsea Publ., Providence, RI, 2000, pp. 276–309. MR 2280879 H. Rademacher, On the partition function $p(n)$, Proceedings of the London Mathematical Society, (2), vol. 43 (1937), pp. 241-254. —, A convergent series for the partition function $p(n)$, Proceedings of the National Academy of Sciences, vol. 23 (1937), pp. 78-84.
- D. H. Lehmer, On the series for the partition function, Trans. Amer. Math. Soc. 43 (1938), no. 2, 271–295. MR 1501943, DOI 10.1090/S0002-9947-1938-1501943-5 —, An application of the Schläfli’s modular equation to a conjecture of Ramanujan, Bulletin of the American Mathematical Society, vol. 44 (1938), pp. 84-90. —, On the Hardy-Ramanujan series for the partition function, Journal of the London Mathematical Society, vol. 12 (1937), pp. 171-176. H. Petersson, Linear relationen zwischen Poincareschen Reihen, Abhandlung des mathematischen Seminars der Hamburgischen Universität, vol. 12 (1938), pp. 415-472.
Additional Information
- © Copyright 1939 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 46 (1939), 362-373
- MSC: Primary 10.0X
- DOI: https://doi.org/10.1090/S0002-9947-1939-0000410-9
- MathSciNet review: 0000410