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Mathematics of Computation

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  • Vol. 29, No. 129, Jan., 1975

  • ISSN:

    00255718
  • Issue Stable URL:

    http://www.jstor.org/stable/i334552

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  • No. 128, Oct., 1974, pp. 889-1204
    1. Front Matter
    2. Stable URL: http://www.jstor.org/stable/2005454
    3.  
    4. Special Issue: Dedicated to Derrick Henry Lehmer
    5. Stable URL: http://www.jstor.org/stable/2005455
    6.  
    7. The Resultant of the Cyclotomic Polynomials $F_m(ax)$ and $F_n(bx)$ (pp. 1-6)
    8. Tom M. Apostol
    9. Stable URL: http://www.jstor.org/stable/2005456
    10.  
    11. Some Numerical Results on Fekete Polynomials (pp. 7-23)
    12. Paul T. Bateman, George B. Purdy, Samuel S. Wagstaff, Jr.
    13. Stable URL: http://www.jstor.org/stable/2005457
    14.  
    15. The Design of Slowly Shrinking Labelled Squares (pp. 25-27)
    16. Elwyn R. Berlekamp
    17. Stable URL: http://www.jstor.org/stable/2005458
    18.  
    19. The Number of Distinct Subsums of $\Sigma^N_1 l/i$ (pp. 29-42)
    20. M. N. Bleicher, P. Erdös
    21. Stable URL: http://www.jstor.org/stable/2005459
    22.  
    23. Irregularities in the Distribution of Primes and Twin Primes (pp. 43-56)
    24. Richard P. Brent
    25. Stable URL: http://www.jstor.org/stable/2005460
    26.  
    27. On Detecting a Periodic Event by Means of Periodic Observations. I (pp. 57-65)
    28. Stefan A. Burr
    29. Stable URL: http://www.jstor.org/stable/2005461
    30.  
    31. A Generating Function for Triangular Partitions (pp. 67-77)
    32. L. Carlitz, Richard Scoville
    33. Stable URL: http://www.jstor.org/stable/2005462
    34.  
    35. Not Every Number is the Sum or Difference of Two Prime Powers (pp. 79-81)
    36. Fred Cohen, J. L. Selfridge
    37. Stable URL: http://www.jstor.org/stable/2005463
    38.  
    39. On the Prime Factors of $\binom{2n}{n}$ (pp. 83-92)
    40. P. Erdös, R. L. Graham, I. Z. Ruzsa, E. G. Straus
    41. Stable URL: http://www.jstor.org/stable/2005464
    42.  
    43. Nonexistence of Chebyshev-Type Quadratures on Infinite Intervals (pp. 93-99)
    44. Walter Gautschi
    45. Stable URL: http://www.jstor.org/stable/2005465
    46.  
    47. What Drives an Aliquot Sequence? (pp. 101-107)
    48. Richard K. Guy, J. L. Selfridge
    49. Stable URL: http://www.jstor.org/stable/2005466
    50.  
    51. Two New Factors of Fermat Numbers (pp. 109-112)
    52. John C. Hallyburton, Jr., John Brillhart
    53. Stable URL: http://www.jstor.org/stable/2005467
    54.  
    55. Irregular Primes and Cyclotomic Invariants (pp. 113-120)
    56. Wells Johnson
    57. Stable URL: http://www.jstor.org/stable/2005468
    58.  
    59. Estimating the Efficiency of Backtrack Programs (pp. 121-136)
    60. Donald E. Knuth
    61. Stable URL: http://www.jstor.org/stable/2005469
    62.  
    63. Computation of the Ideal Class Group of Certain Complex Quartic Fields. II (pp. 137-144)
    64. Richard B. Lakein
    65. Stable URL: http://www.jstor.org/stable/2005470
    66.  
    67. A Necessary and Sufficient Condition for Transcendency (pp. 145-153)
    68. K. Mahler
    69. Stable URL: http://www.jstor.org/stable/2005471
    70.  
    71. On Factorisation, with a Suggested New Approach (pp. 155-172)
    72. J. C. P. Miller
    73. Stable URL: http://www.jstor.org/stable/2005472
    74.  
    75. Continued Fractions and Linear Recurrences (pp. 173-180)
    76. W. H. Mills
    77. Stable URL: http://www.jstor.org/stable/2005473
    78.  
    79. A Note on Primality Testing Using Lucas Sequences (pp. 181-182)
    80. Michael A. Morrison
    81. Stable URL: http://www.jstor.org/stable/2005474
    82.  
    83. A Method of Factoring and the Factorization of $F_7$ (pp. 183-205)
    84. Michael A. Morrison, John Brillhart
    85. Stable URL: http://www.jstor.org/stable/2005475
    86.  
    87. Congruence Subgroups of the Modular Group (pp. 207-213)
    88. Morris Newman
    89. Stable URL: http://www.jstor.org/stable/2005476
    90.  
    91. The Distribution of Crossings of Chords Joining Pairs of $2n$ Points on a Circle (pp. 215-222)
    92. John Riordan
    93. Stable URL: http://www.jstor.org/stable/2005477
    94.  
    95. The Structure of Certain Triple Systems (pp. 223-241)
    96. Raphael M. Robinson
    97. Stable URL: http://www.jstor.org/stable/2005478
    98.  
    99. Sharper Bounds for the Chebyshev Functions $\theta(x)$ and $\psi(x)$ (pp. 243-269)
    100. J. Barkley Rosser, Lowell Schoenfeld
    101. Stable URL: http://www.jstor.org/stable/2005479
    102.  
    103. Calculation and Applications of Epstein Zeta Functions (pp. 271-287)
    104. Daniel Shanks
    105. Stable URL: http://www.jstor.org/stable/2005480
    106.  
    107. On Complex Quadratic Fields with Class-Number Two (pp. 289-302)
    108. H. M. Stark
    109. Stable URL: http://www.jstor.org/stable/2005481
    110.  
    111. A Combinatorial Theorem in Group Theory (pp. 303-309)
    112. E. G. Straus
    113. Stable URL: http://www.jstor.org/stable/2005482
    114.  
    115. Power Sum Method and the Approximative Solution of Algebraic Equations (pp. 311-318)
    116. Paul Turán
    117. Stable URL: http://www.jstor.org/stable/2005483
    118.  
    119. On Small Zeros of Dirichlet $L$-Functions (pp. 319-328)
    120. Peter J. Weinberger
    121. Stable URL: http://www.jstor.org/stable/2005484
    122.  
    123. Reviews and Descriptions of Tables and Books
      1. Review: [untitled] (p. 329)
      2. D. S., J. W. W.
      3. Reviewed work(s): Sums of Reciprocals to 1,000,000 by Daniel Shanks; John W. Wrench, Jr.
      4. Stable URL: http://www.jstor.org/stable/2005485
      5.  
      6. Review: [untitled] (pp. 329-330)
      7. D. S.
      8. Reviewed work(s): Table of $\phi(n) = \phi(n + 1)$ by David Ballew; Janell Case; Robert N. Higgins
      9. Stable URL: http://www.jstor.org/stable/2005486
      10.  
      11. Review: [untitled] (p. 330)
      12. D. S.
      13. Reviewed work(s): Some Computer Results on Units of Quadratic and Cubic Fields by B. D. Beach; H. C. Williams; C. R. Zarnke
      14. Stable URL: http://www.jstor.org/stable/2005487
      15.  
      16. Review: [untitled] (p. 331)
      17. D. S.
      18. Reviewed work(s): Tables Concerning Irregularities in the Distribution of Primes and Twin Primes by Richard P. Brent
      19. Stable URL: http://www.jstor.org/stable/2005488
      20.  
      21. Review: [untitled] (pp. 331-333)
      22. D. S.
      23. Reviewed work(s): Kummer's Förmodan by Carl-Erik Fröberg
      24. Stable URL: http://www.jstor.org/stable/2005489
      25.  
      26. Review: [untitled] (pp. 333-334)
      27. D. S.
      28. Reviewed work(s): Méthodes et algorithmes pour le calcul numérique du nombre de classes et des unités des extensions cubiques cycliques de $Q$ by Marie Nicole Gras
      29. Stable URL: http://www.jstor.org/stable/2005490
      30.  
      31. Review: [untitled] (p. 334)
      32. Reviewed work(s): The Irregular Primes to 30000 and Related Tables by Wells Johnson
      33. Stable URL: http://www.jstor.org/stable/2005491
      34.  
      35. Review: [untitled] (p. 335)
      36. J. W. W.
      37. Reviewed work(s): Magnus Canon Divisorum $\cdots$ by J. P. Kulik
      38. Stable URL: http://www.jstor.org/stable/2005492
      39.  
      40. Review: [untitled] (pp. 335-336)
      41. Richard B. Lakein
      42. Reviewed work(s): Table of Class Numbers, $h(p)$ Greater than 1, for Fields $Q(\surd p), p \equiv 1 (\operatorname{mod} 4) \leqslant 2776817$ by Sigekatu Kuroda
      43. Stable URL: http://www.jstor.org/stable/2005493
      44.  
      45. Review: [untitled] (p. 336)
      46. Reviewed work(s): Class Numbers of 5000 Quartic Fields $Q(\surd \pi)$ by Richard B. Lakein
      47. Stable URL: http://www.jstor.org/stable/2005494
      48.  
      49. Review: [untitled] (pp. 336-337)
      50. Reviewed work(s): A Table of the Coefficients of the Modular Invariant $j(\tau)$ by Morris Newman
      51. Stable URL: http://www.jstor.org/stable/2005495
      52.  
      53. Review: [untitled] (pp. 337-338)
      54. D. S.
      55. Reviewed work(s): Table of the Greatest Prime Factor of $N^2 + 1$ for $N = 1(1)185000$ by Daniel Shanks
      56. Stable URL: http://www.jstor.org/stable/2005496
      57.  
      58. Review: [untitled] (pp. 338-339)
      59. Reviewed work(s): Table of Carmichael Numbers to $10^9$ by J. D. Swift
      60. Stable URL: http://www.jstor.org/stable/2005497
      61.  
      62. Review: [untitled] (p. 339)
      63. D. S.
      64. Reviewed work(s): A Table of Fundamental Units for Cubic Fields by H. C. Williams; C. R. Zarnke
      65. Stable URL: http://www.jstor.org/stable/2005498
      66.  
      67. Review: [untitled] (pp. 339-340)
      68. Emma Lehmer
      69. Reviewed work(s): Table of Solutions $(x, u, v, w)$ of the Diophantine System $16p = x^2 + 50u^2 + 50v^2 + 125w^2, xw = v^2 - 4uv - u^2, x \equiv 1 (\operatorname{mod} 5)$ for Primes $p < 10000, p \equiv 1 (\operatorname{mod} 5)$ by Kenneth S. Williams; Barry Lowe
      70. Stable URL: http://www.jstor.org/stable/2005499
      71.  
    124. Table Errata (p. 341)
    125. Stable URL: http://www.jstor.org/stable/2005500
    126.  
    127. Back Matter (p. 342)
    128. Stable URL: http://www.jstor.org/stable/2005501
    129.  

    Next issue:

  • No. 130, Apr., 1975, pp. 343-676