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Mathematics of Computation

Journal Cover

  • Vol. 48, No. 177, Jan., 1987

  • ISSN:

    00255718

  • Issue Stable URL:

    http://www.jstor.org/stable/i334595

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  • No. 176, Oct., 1986, pp. 387-790+S41-S63

    2. Volume Information
    3. Stable URL: http://www.jstor.org/stable/2007866
    4. PDF
      5.  
    6. Front Matter
    7. Stable URL: http://www.jstor.org/stable/2007867
    8. PDF
      9.  
    10. Dedication: Daniel Shanks
    11. H. C. Williams
    12. Stable URL: http://www.jstor.org/stable/2007868
    13. PDF
      14.  
    15. Characterizing Pseudoprimes for Third-Order Linear Recurrences (pp. 1-15)
    16. William W. Adams
    17. Stable URL: http://www.jstor.org/stable/2007869
    18. PDF
      19.  
    20. Solving Bivariate Quadratic Congruences in Random Polynomial Time (pp. 17-28)
    21. Leonard M. Adleman, Dennis R. Estes, Kevin S. McCurley
    22. Stable URL: http://www.jstor.org/stable/2007870
    23. PDF
      24.  
    25. Parity Results for Certain Partition Functions and Identities Similar to Theta Function Identities (pp. 29-38)
    26. Richard Blecksmith, John Brillhart, Irving Gerst
    27. Stable URL: http://www.jstor.org/stable/2007871
    28. PDF
      29.  
    30. The Computation of the Fundamental Unit of Totally Complex Quartic Orders (pp. 39-54)
    31. Johannes Buchmann
    32. Stable URL: http://www.jstor.org/stable/2007872
    33. PDF
      34.  
    35. On Principal Ideal Testing in Totally Complex Quartic Fields and the Determination of Certain Cyclotomic Constants (pp. 55-66)
    36. Johannes Buchmann, H. C. Williams
    37. Stable URL: http://www.jstor.org/stable/2007873
    38. PDF
      39.  
    40. The Cyclotomic Numbers of Order Fifteen (pp. 67-s85)
    41. Nicholas Buck, Lones Smith, Blair K. Spearman, Kenneth S. Williams
    42. Stable URL: http://www.jstor.org/stable/2007874
    43. PDF
      44.  
    45. Class Groups of Quadratic Fields. II (pp. 85-93)
    46. Duncan A. Buell
    47. Stable URL: http://www.jstor.org/stable/2007875
    48. PDF
      49.  
    50. Computing in the Jacobian of a Hyperelliptic Curve (pp. 95-101)
    51. David G. Cantor
    52. Stable URL: http://www.jstor.org/stable/2007876
    53. PDF
      54.  
    55. Implementation of a New Primality Test (pp. 103-121)
    56. H. Cohen, A. K. Lenstra
    57. Stable URL: http://www.jstor.org/stable/2007877
    58. PDF
      59.  
    60. Class Groups of Number Fields: Numerical Heuristics (pp. 123-137)
    61. H. Cohen, J. Martinet
    62. Stable URL: http://www.jstor.org/stable/2007878
    63. PDF
      64.  
    65. Application of Symbolic Manipulation to Hecke Transformations of Modular Forms in Two Variables (pp. 139-146)
    66. Harvey Cohn, Jesse Deutsch
    67. Stable URL: http://www.jstor.org/stable/2007879
    68. PDF
      69.  
    70. A Table of Fundamental Pairs of Units in Totally Real Cubic Fields (pp. 147-158)
    71. T. W. Cusick, Lowell Schoenfeld
    72. Stable URL: http://www.jstor.org/stable/2007880
    73. PDF
      74.  
    75. Hecke Operators and the Fundamental Domain for $\mathrm{SL}(3, \mathbf{Z})$ (pp. 159-178)
    76. Daniel Gordon, Douglas Grenier, Audrey Terras
    77. Stable URL: http://www.jstor.org/stable/2007881
    78. PDF
      79.  
    80. Special Units in Real Cyclic Sextic Fields (pp. 179-182)
    81. Marie-Nicole Gras
    82. Stable URL: http://www.jstor.org/stable/2007882
    83. PDF
      84.  
    85. Primes at a Glance (pp. 183-202)
    86. R. K. Guy, C. B. Lacampagne, J. L. Selfridge
    87. Stable URL: http://www.jstor.org/stable/2007883
    88. PDF
      89.  
    90. Elliptic Curve Cryptosystems (pp. 203-209)
    91. Neal Koblitz
    92. Stable URL: http://www.jstor.org/stable/2007884
    93. PDF
      94.  
    95. Cyclotomic Resultants (pp. 211-216)
    96. D. H. Lehmer, Emma Lehmer
    97. Stable URL: http://www.jstor.org/stable/2007885
    98. PDF
      99.  
    100. Primitive Normal Bases for Finite Fields (pp. 217-231)
    101. H. W. Lenstra, Jr., R. J. Schoof
    102. Stable URL: http://www.jstor.org/stable/2007886
    103. PDF
      104.  
    105. Class Numbers of Quadratic Fields Determined by Solvability of Diophantine Equations (pp. 233-242)
    106. R. A. Mollin
    107. Stable URL: http://www.jstor.org/stable/2007887
    108. PDF
      109.  
    110. Speeding the Pollard and Elliptic Curve Methods of Factorization (pp. 243-264)
    111. Peter L. Montgomery
    112. Stable URL: http://www.jstor.org/stable/2007888
    113. PDF
      114.  
    115. Numerical Values of Goldberg's Coefficients in the Series for $\log(e^xe^y)$ (pp. 265-s132)
    116. Morris Newman, Robert C. Thompson
    117. Stable URL: http://www.jstor.org/stable/2007889
    118. PDF
      119.  
    120. On the Distribution of Spacings Between Zeros of the Zeta Function (pp. 273-308)
    121. A. M. Odlyzko
    122. Stable URL: http://www.jstor.org/stable/2007890
    123. PDF
      124.  
    125. On Computing Isomorphisms of Equation Orders (pp. 309-314)
    126. M. Pohst
    127. Stable URL: http://www.jstor.org/stable/2007891
    128. PDF
      129.  
    130. Very Short Primality Proofs (pp. 315-322)
    131. Carl Pomerance
    132. Stable URL: http://www.jstor.org/stable/2007892
    133. PDF
      134.  
    135. On the Sign of the Difference $\pi(x) - \mathrm{li}(x)$ (pp. 323-328)
    136. Herman J. J. te Riele
    137. Stable URL: http://www.jstor.org/stable/2007893
    138. PDF
      139.  
    140. The Multiple Polynomial Quadratic Sieve (pp. 329-339)
    141. Robert D. Silverman
    142. Stable URL: http://www.jstor.org/stable/2007894
    143. PDF
      144.  
    145. New Congruences for the Bernoulli Numbers (pp. 341-350)
    146. Jonathan W. Tanner, Samuel S. Wagstaff, Jr.
    147. Stable URL: http://www.jstor.org/stable/2007895
    148. PDF
      149.  
    150. Computation of the Néron-Tate Height on Elliptic Curves  (pp. 351-370)
    151. Heinz M. Tschöpe, Horst G. Zimmer
    152. Stable URL: http://www.jstor.org/stable/2007896
    153. PDF
      154.  
    155. Class Numbers of the Simplest Cubic Fields (pp. 371-384)
    156. Lawrence C. Washington
    157. Stable URL: http://www.jstor.org/stable/2007897
    158. PDF
      159.  
    160. Effective Primality Tests for Some Integers of the Forms $A5^n - 1$ and $A7^n - 1$ (pp. 385-403)
    161. H. C. Williams
    162. Stable URL: http://www.jstor.org/stable/2007898
    163. PDF
      164.  
    165. On the Parallel Generation of the Residues for the Continued Fraction Factoring Algorithm (pp. 405-423)
    166. H. C. Williams, M. C. Wunderlich
    167. Stable URL: http://www.jstor.org/stable/2007899
    168. PDF
      169.  
    170. Large Integral Points on Elliptic Curves (pp. 425-436)
    171. Don Zagier
    172. Stable URL: http://www.jstor.org/stable/2007900
    173. PDF
      174.  
    174. Reviews and Descriptions of Tables and Books
      2. Review: [untitled] (pp. 437-438)
      3. H. C. W.
      4. Reviewed work(s): Solved and Unsolved Problems in Number Theory. by Daniel Shanks
      5. Stable URL: http://www.jstor.org/stable/2007901
      6. PDF
        7.  
      8. Review: [untitled] (pp. 438-439)
      9. S. S. Wagstaff, Jr.
      10. Reviewed work(s): Elementary Number Theory and Its Applications. by Kenneth H. Rosen
      11. Stable URL: http://www.jstor.org/stable/2007902
      12. PDF
        13.  
      14. Review: [untitled] (pp. 439-440)
      15. S. S. Wagstaff, Jr.
      16. Reviewed work(s): Prime Numbers and Computer Methods for Factorization. by Hans Riesel
      17. Stable URL: http://www.jstor.org/stable/2007903
      18. PDF
        19.  
      20. Review: [untitled] (p. 441)
      21. R. Steinberg
      22. Reviewed work(s): Atlas of Finite Groups--Maximal Subgroups and Ordinary Characters for Simple Groups. by J. H. Conway; R. T. Curtis; S. P. Norton; R. A. Parker; R. A. Wilson
      23. Stable URL: http://www.jstor.org/stable/2007904
      24. PDF
        25.  
      26. Review: [untitled] (pp. 441-443)
      27. Carl Pomerance
      28. Reviewed work(s): Analytic Methods in the Analysis and Design of Number-Theoretic Algorithms. by Eric Bach
      29. Stable URL: http://www.jstor.org/stable/2007905
      30. PDF
        31.  
      32. Review: [untitled] (pp. 444-446)
      33. Reviewed work(s): Cyclotomy of Order Twelve Over $\mathrm{GF}(p^2), p^2 \equiv 1 (\operatorname{mod} 12)$. by J. B. Muskat; K. S. Williams
      34. Stable URL: http://www.jstor.org/stable/2007906
      35. PDF
        36.  
    176. Corrigendum (p. 447)
    177. N. Costa Pereira
    178. Stable URL: http://www.jstor.org/stable/2007907
    179. PDF
      180.  
    181. Supplement to Implementation of a New Primality Test (pp. s1-s4)
    182. H. Cohen, A. K. Lenstra
    183. Stable URL: http://www.jstor.org/stable/2007908
    184. PDF
      185.  
    186. Back Matter
    187. Stable URL: http://www.jstor.org/stable/2007909
    188. PDF
      189.  

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  • No. 178, Apr., 1987, pp. 449-858+S5-S15