Some theorems concerning partitions
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- by Emil Grosswald
- Trans. Amer. Math. Soc. 89 (1958), 113-128
- DOI: https://doi.org/10.1090/S0002-9947-1958-0097371-5
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References
- G. H. Hardy, On the representation of a number as the sum of any number of squares, and in particular of five, Trans. Amer. Math. Soc. 21 (1920), no. 3, 255–284. MR 1501144, DOI 10.1090/S0002-9947-1920-1501144-7 G. H. Hardy and S. Ramanujan, Asymptotic formulae in combinatorial analysis, Proc. London Math. Soc. (2) vol. 17 (1918) pp. 75-115.
- W. K. Hayman, A generalisation of Stirling’s formula, J. Reine Angew. Math. 196 (1956), 67–95. MR 80749, DOI 10.1515/crll.1956.196.67 E. Hecke, Vorlesungen uber die Theorie der algebr. Zahlen, Leipzig, Akademische Verlagsgeselschaft, 1923.
- Joseph Lehner, A partition function connected with the modulus five, Duke Math. J. 8 (1941), 631–655. MR 5523
- John Livingood, A partition function with the prime modulus $P>3$, Amer. J. Math. 67 (1945), 194–208. MR 12101, DOI 10.2307/2371722
- Günter Meinardus, Asymptotische Aussagen über Partitionen, Math. Z. 59 (1954), 388–398 (German). MR 62781, DOI 10.1007/BF01180268
- Hans Petersson, Über Modulfunktionen und Partitionenprobleme, Abh. Deutsch. Akad. Wiss. Berlin. Kl. Math. Nat. 1954 (1954), no. 2, 59 (German). MR 0071458
- Hans Petersson, Über die arithmetischen Eigenschaften eines Systems multiplikativer Modulfunktionen von Primzahlstufe, Acta Math. 95 (1956), 57–110 (German). MR 77566, DOI 10.1007/BF02401098 H. Rademacher, On the Partitionfunction $p(n)$, Proc. London Math. Soc. (2) vol. 43 (1937) pp. 241-254.
- Hans Rademacher, The Fourier Coefficients of the Modular Invariant J($\tau$), Amer. J. Math. 60 (1938), no. 2, 501–512. MR 1507331, DOI 10.2307/2371313 H. J. Smith, Collected Math. Papers, Clarendon Press, Oxford, 1894.
Bibliographic Information
- © Copyright 1958 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 89 (1958), 113-128
- MSC: Primary 10.00
- DOI: https://doi.org/10.1090/S0002-9947-1958-0097371-5
- MathSciNet review: 0097371