Some relations and values for the generalized Riemann zeta functions.
HTML articles powered by AMS MathViewer
- by Eldon R. Hansen and Merrell L. Patrick PDF
- Math. Comp. 16 (1962), 265-274 Request permission
Corrigendum: Math. Comp. 17 (1963), 104-104.
Corrigendum: Math. Comp. 17 (1963), 104-104.
References
- E. T. Whittaker & G. N. Watson, A Course in Modern Analysis, fourth edition, Cambridge, 1952.
J. P. Gram, βTafeln fΓΌr die Riemannsche Zetafunktion,β Kungl. Danske Vid. Selsk. Skr. (8), v. 10, 1925, p. 313-325.
- C. B. Haselgrove and J. C. P. Miller, Tables of the Riemann zeta function, Royal Society Mathematical Tables, Vol. 6, Cambridge University Press, New York, 1960. MR 0117905 R. Hensman, Tables of the Generalized Riemann Zeta Function, Report No. T 2111, Telecommunications Research Establishment, Ministry of Supply, Great Malvern, Worcestershire, 1948. British Association for the Advancement of Science, Mathematical Tables, Vol. I, Circular and Hyperbolic Functions, third edition, Cambridge University Press, 1951. E. C. Titchmarsh, Introduction to the Theory of Fourier Integrals, second edition, Oxford University Press, 1948.
- E. O. Powell, A table of the generalized Riemann zeta function in a particular case, Quart. J. Mech. Appl. Math. 5 (1952), 116β123. MR 46740, DOI 10.1093/qjmam/5.1.116
- K. Mitchell, Tables of the function $\int ^z_0(-\textrm {log}|1-y|/y) dy$ with an account of some properties of this and related functions, Philos. Mag. (7) 40 (1949), 351β368. MR 30294, DOI 10.1080/14786444908561256 E. Lerch, βNote sur la fonction $R(w,x,s) = \sum \limits _0^\infty {\tfrac {{{e^{2k\pi ix}}}} {{{{(w + k)}^s}}}}$,β Acta. Math. (Stockholm), v. 11, 1887, p. 19-24.
- H. Bremmer, Terrestrial Radio Waves. Theory of Propagation, Elsevier Publishing Co., Inc., New York-Amsterdam-London-Brussels, 1949. MR 0032462 Nelson Logan, General Research in Diffraction Theory, v. I., Lockheed Missiles and Space Division Report #288087, December 1959.
Additional Information
- © Copyright 1962 American Mathematical Society
- Journal: Math. Comp. 16 (1962), 265-274
- MSC: Primary 10.41
- DOI: https://doi.org/10.1090/S0025-5718-1962-0147462-X
- MathSciNet review: 0147462