Reviews and Descriptions of Tables and Books

Journal:
Math. Comp. **24** (1970), 475-502

DOI:
https://doi.org/10.1090/S0025-5718-70-99853-4

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References | Additional Information

**[1]**Donald E. Knuth,*The Art of Computer Programming*, Vol. I:*Fundamental Algorithms*, AddisonWesley Publishing Co., Reading, Mass., 1968. (See*Math. Comp.*, v. 23, 1969, pp. 447-450, RMT**18**.) MR**0378456 (51:14624)****[1]**WE. Mansell,*Tables of Natural and Common Logarithms to*110*Decimals*, Royal Society Mathematical Tables, Vol. 8, Cambridge Univ. Press, New York, 1964. (See*Math. Comp.*, v. 19, 1965, p. 332, RMT**35**.) MR**0166398 (29:3675)****[2]**W. S. Aldis, "Tables for the solution of the equation ,"*Proc. Roy. Soc. London*, v. 64, 1899, pp. 203-223.**[1]**A. R. Curtis,*Tables of Jacobian Elliptic Functions whose Arguments are Rational Fractions of the Quarter Period*, National Physical Laboratory,*Mathematical Tables*, Vol. 7, Her Majesty's Stationery Office, London, 1964. (See*Math. Comp.*, v. 19, 1965, pp. 154-155, RMT**10**.) MR**0167644 (29:4916)****[2]**H. E. Salzer, "Quick calculation of Jacobian elliptic functions,"*Comm. ACM*, v. 5, 1962, p. 399.**[1]**Y. L. Luke,*Integrals of Bessel Functions*, McGraw-Hill Book Co., New York, 1962, pp. 314-318. (See also*Math. Comp.*, v. 17, 1963, pp. 318-320.) MR**0141801 (25:5198)****[1]**O. P. Gupta & S. Luthra, "Partition into primes,"*Proc. Nat. Inst. Sci. India*, v. 21, 1955, pp. 181-184. MR**0074447 (17:587b)****[2]**M. Abramowitz & I. A. Stegun, editors,*Handbook of Mathematical Functions*, Dover, New York, 1965; Section 24, "Combinatorial analysis" (see 24.2.1, 24.2.2, Table 24.5).**[3]**G. H. Hardy & S. Ramanujan, "Asymptotic formulae for the distribution of integers of various types,"*Proc. London Math. Soc.*, (2), v. 16, 1917, pp. 112-132; see Eq. (5.281).**[1]**UMT**29**,*Math. Comp.*, v. 23, 1969, p. 458. MR**0238502 (38:6778)****[2]**UMT**50**,*Math. Comp.*, v. 23, 1969, p. 683.**[3]**D. H. Lehmer et al., "Integer sequences having prescribed quadratic character,"*Math. Comp.*, v. 24, 1970, pp. 433-451. MR**0271006 (42:5889)****[1]**S. Ramanujan, "On certain arithmetical functions,"*Trans. Cambridge Philos. Soc.*, v. 22, 1916, pp. 159-184; see especially §§ 16-18. A short table of for is given here.**[2]**G. N. Watson, "A table of Ramanujan's function ,"*Proc. London Math. Soc.*, (2), v. 51, 1950 (paper is dated 1942), pp. 1-13. MR**0028887 (10:514c)****[3]**D. H. Lehmer,*Tables of Ramanujan*, UMT**101**,*MTAC*, v. 4, 1950, p. 162.**[4]**Margaret Ashworth & A. O. L. Atkin,*Tables of*, UMT**1**,*Math. Comp.*, v. 21, 1967, p. 116. MR**0223091 (36:6140)****[5]**G. H. Hardy,*Ramanujan*, Chelsea reprint, New York, 1959, Chapter X and §§9.17, 9.18.**[1]**D. H. Lehmer,*Guide to Tables in the Theory of Numbers*, Bulletin No. 105, National Research Council, Washington, D. C., 1941, p. 73. MR**0003625 (2:247a)**

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DOI:
https://doi.org/10.1090/S0025-5718-70-99853-4

Article copyright:
© Copyright 1970
American Mathematical Society