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Mathematics of Computation

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Journal: Math. Comp. 1 (1944), 312-323
DOI: https://doi.org/10.1090/S0025-5718-44-99034-4
Corrigendum: Math. Comp. 1 (1944), 336.
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References [Enhancements On Off] (What's this?)

  • [1] L. Euler, ``De partitione numerorum,'' Acad. Sci. Petrop., Novi Commentarii, v. 3 (1750-1), 1753, p. 125-169. Commentationes Arithmeticae. St. Petersburg, v. 1, 1849, p. 73-101, Opera Omnia, s. 1, v. 2, 1915, p. 254-294. Chrystal in his algebra refers to a smaller table of Euler in his Introductio in Analysin Infinitorum [Lausanne, 1748, chapter 16; Opera Omnia, s. 1, v. 8, 1922, p. 327-328] and many later writers, including the author, have followed this reference.
  • [2] Hansraj Gupta, An inequality in partitions, J. Univ. Bombay 11 (1942), 16–18. MR 0008088
  • [3] Paul Erdös and Joseph Lehner, The distribution of the number of summands in the partitions of a positive integer, Duke Math. J. 8 (1941), 335–345. MR 0004841
  • [4] H. Gupta, Tables of Partitions, Madras, 1939.
  • [1] Herbert E. Salzer, Table of coefficients for inverse interpolation with central differences, J. Math. Phys. Mass. Inst. Tech. 22 (1943), 210–224. MR 0010054, https://doi.org/10.1002/sapm1943221210
  • [2] H. T. Davis, Tables of the Higher Mathematical Functions, v. 1, Bloomington, Ind., 1933, p. 80-81. Mr. Salzer notes ``The formula obtained by Davis was checked and found to be entirely correct except for two obvious printing errors, namely, p. 81 line 6 for $ 3{!^2}$ read $ 4{!^2}$ and on line 7 for + 36 read - 36."
  • [2] A. Gray and G. B. Mathews, A Treatise on Bessel Functions, London, Macmillan, 1895, p. 285. Second edition, prepared by A. Gray and T. M. MacRobert, 1922, p. 309.
  • [3] Described in MTAC, p. 283.


Additional Information

DOI: https://doi.org/10.1090/S0025-5718-44-99034-4
Article copyright: © Copyright 1944 American Mathematical Society

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