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- Math. Comp. 3 (1948), 19-40 Request permission
Corrigendum: Math. Comp. 3 (1949), 499.
References
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- Kurt Mahler, Lattice points in two-dimensional star domains. I, Proc. London Math. Soc. (2) 49 (1946), 128–157. MR 16407, DOI 10.1112/plms/s2-49.2.128 R. D. von Sterneck, “Über die kleinste Anzahl Kuben, aus welchen jede Zahl bis 40 000 zusammengesetzt werden kann,” Akad. d. Wiss., Vienna, math-natw. KI., Sitzb., v. 112, section 2a, 1903, p. 1627-1666. See for example F. Faà di Bruno, Théorie des Formes Binaires, Turin, 1876, for weights ${}\leq 11$, on the three folding plates; second ed 1883. German ed., Leipzig, 1881. P. V. Sukhatme, “On bipartitional functions,’ R. Soc. London, Phil. Trans., v. 273A, 1939, p. 399. Tables of ${\Lambda _v}(x)$ for integral values of $v$ were published by NBSCL in “Tables of ${f_n}(x) \cdots$, Jn. Math. Phys., v. 23, 1944, p. 45-60. See MTAC, v. 1, p. 363-364. Reiz refers to A. Berger, “Sur l’évaluation approchée des intégrales définies simples,” K. Vetenskaps Societeten i Upsala, Nova Acta, p. 3, v. 16, no. 4, 1893, and states (p. 6) that “Berger has given numerical values for the $x$’s and $p$’s, for $n = 2,3,4$,” on p. 50 of his paper. Since there are no such values on this page, presumably those given in formulae on p. 52 were meant. So far as I know at present Reiz’s table is the first one of ${H_n}(x)$, in decimal form, which has appeared. B. S. Ray, “Über die Eigenwerte des asymmetrischen Kreisels,” Zeits. Physik, v. 78, 1932, p. 74-91. G. W. King, R. M. Hainer & Paul C. Cross, “The asymmetric rotor. I. Calculation and symmetry classification of energy levels,” Jn. Chem. Phys., v. 11, 1943, p. 27-42.
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Additional Information
- © Copyright 1948 American Mathematical Society
- Journal: Math. Comp. 3 (1948), 19-40
- DOI: https://doi.org/10.1090/S0025-5718-48-99561-1