Recent Mathematical Tables

Journal:
Math. Comp. **1** (1944), 312-323

Corrigendum:
Math. Comp. **1** (1944), 336.

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References | Additional Information

**[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****[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 read 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.

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DOI:
https://doi.org/10.1090/S0025-5718-44-99034-4

Article copyright:
© Copyright 1944
American Mathematical Society