Mathematics of Computation

Previous issue:

No. 202, Apr., 1993, pp. 447-877

2. Front MatterFront Matter (p. i)
3. Stable URL: http://www.jstor.org/stable/2152930
4. PDF
 
6. Dedication: Derrick Henry Lehmer (1905-1991)Dedication: Derrick Henry Lehmer (1905-1991) (pp. iii-viii)
7. H. C. Williams
8. Stable URL: http://www.jstor.org/stable/2152931
9. PDF
 
11. A Subexponential Algorithm for Discrete Logarithms Over all Finite FieldsA Subexponential Algorithm for Discrete Logarithms Over all Finite Fields (pp. 1-15)
12. Leonard M. Adleman, Jonathan Demarrais
13. Stable URL: http://www.jstor.org/stable/2152932
14. PDF
 
16. A Conjecture in Addition Chains Related to Scholz's ConjectureA Conjecture in Addition Chains Related to Scholz's Conjecture (pp. 17-23)
17. Walter Aiello, M. V. Subbarao
18. Stable URL: http://www.jstor.org/stable/2152933
19. PDF
 
21. An Extension of the Lehmers' Picturesque Exponential SumsAn Extension of the Lehmers' Picturesque Exponential Sums (pp. 25-28)
22. Tom M. Apostol
23. Stable URL: http://www.jstor.org/stable/2152934
24. PDF
 
26. Elliptic Curves and Primality ProvingElliptic Curves and Primality Proving (pp. 29-68)
27. A. O. L. Atkin, F. Morain
28. Stable URL: http://www.jstor.org/stable/2152935
29. PDF
 
31. Statistical Evidence for Small Generating SetsStatistical Evidence for Small Generating Sets (pp. 69-82)
32. Eric Bach, Lorenz Huelsbergen
33. Stable URL: http://www.jstor.org/stable/2152936
34. PDF
 
36. A Fundamental Modular Identity and Some ApplicationsA Fundamental Modular Identity and Some Applications (pp. 83-95)
37. Richard Blecksmith, John Brillhart, Irving Gerst
38. Stable URL: http://www.jstor.org/stable/2152937
39. PDF
 
41. Explicit Primality Criteria for h · 2^k ± 1Explicit Primality Criteria for h · 2^k ± 1 (pp. 97-109)
42. Wieb Bosma
43. Stable URL: http://www.jstor.org/stable/2152938
44. PDF
 
46. Three Points of Great Height on Elliptic CurvesThree Points of Great Height on Elliptic Curves (pp. 111-115)
47. Andrew Bremner, Duncan A. Buell
48. Stable URL: http://www.jstor.org/stable/2152939
49. PDF
 
51. Which Integers are Representable as the Product of the Sum of Three Integers with the Sum of their Reciprocals?Which Integers are Representable as the Product of the Sum of Three Integers with the Sum of their Reciprocals? (pp. 117-130)
52. Andrew Bremner, Richard K. Guy, Richard J. Nowakowski
53. Stable URL: http://www.jstor.org/stable/2152940
54. PDF
 
56. On Computing Factors of Cyclotomic PolynomialsOn Computing Factors of Cyclotomic Polynomials (pp. 131-149)
57. Richard P. Brent
58. Stable URL: http://www.jstor.org/stable/2152941
59. PDF
 
61. Irregular Primes and Cyclotomic Invariants to Four MillionIrregular Primes and Cyclotomic Invariants to Four Million (pp. 151-153)
62. J. Buhler, R. Crandall, R. Ernvall, T. Metsänkylä
63. Stable URL: http://www.jstor.org/stable/2152942
64. PDF
 
66. How Branching Properties Determine Modular EquationsHow Branching Properties Determine Modular Equations (pp. 155-170)
67. Harvey Cohn
68. Stable URL: http://www.jstor.org/stable/2152943
69. PDF
 
71. Zaremba's Conjecture and Sums of the Divisor FunctionZaremba's Conjecture and Sums of the Divisor Function (pp. 171-176)
72. T. W. Cusick
73. Stable URL: http://www.jstor.org/stable/2152944
74. PDF
 
76. Average Case Error Estimates for the Strong Probable Prime TestAverage Case Error Estimates for the Strong Probable Prime Test (pp. 177-194)
77. Ivan Damgård, Peter Landrock, Carl Pomerance
78. Stable URL: http://www.jstor.org/stable/2152945
79. PDF
 
81. Numerical Results for Sums of Five and Seven Biquadrates and Consequences for Sums of 19 BiquadratesNumerical Results for Sums of Five and Seven Biquadrates and Consequences for Sums of 19 Biquadrates (pp. 195-207)
82. J.-M. Deshouillers, F. Dress
83. Stable URL: http://www.jstor.org/stable/2152946
84. PDF
 
86. An Upper Bound in Goldbach's ProblemAn Upper Bound in Goldbach's Problem (pp. 209-213)
87. Jean-Marc Deshouillers, Andrew Granville, Wladyslaw Narkiewicz, Carl Pomerance
88. Stable URL: http://www.jstor.org/stable/2152947
89. PDF
 
91. Estimates of the Least Prime Factor of a Binomial CoefficientEstimates of the Least Prime Factor of a Binomial Coefficient (pp. 215-224)
92. P. Erdős, C. B. Lacampagne, J. L. Selfridge
93. Stable URL: http://www.jstor.org/stable/2152948
94. PDF
 
96. Good Parameters for a Class of Node Sets in Quasi-Monte Carlo IntegrationGood Parameters for a Class of Node Sets in Quasi-Monte Carlo Integration (pp. 225-234)
97. Tom Hansen, Gary L. Mullen, Harald Niederreiter
98. Stable URL: http://www.jstor.org/stable/2152949
99. PDF
 
101. On Solving the Diophantine Equation x³ + y³ + z³ = k on a Vector ComputerOn Solving the Diophantine Equation x³ + y³ + z³ = k on a Vector Computer (pp. 235-244)
102. D. R. Heath-Brown, W. M. Lioen, H. J. J. Te Riele
103. Stable URL: http://www.jstor.org/stable/2152950
104. PDF
 
106. On Fourier Coefficients of Maass Waveforms for PSL(2, Z)On Fourier Coefficients of Maass Waveforms for PSL(2, Z) (pp. 245-267)
107. D. A. Hejhal, S. Arno
108. Stable URL: http://www.jstor.org/stable/2152951
109. PDF
 
111. On the Cuspidal Spectrum of the Arithmetic Hecke GroupsOn the Cuspidal Spectrum of the Arithmetic Hecke Groups (pp. 269-275)
112. Marvin I. Knopp
113. Stable URL: http://www.jstor.org/stable/2152952
114. PDF
 
116. Johann Faulhaber and Sums of PowersJohann Faulhaber and Sums of Powers (pp. 277-294)
117. Donald E. Knuth
118. Stable URL: http://www.jstor.org/stable/2152953
119. PDF
 
121. Cyclotomy and Delta UnitsCyclotomy and Delta Units (pp. 295-305)
122. Andrew J. Lazarus
123. Stable URL: http://www.jstor.org/stable/2152954
124. PDF
 
126. The Mathematical Work of Morgan WardThe Mathematical Work of Morgan Ward (pp. 307-311)
127. D. H. Lehmer
128. Stable URL: http://www.jstor.org/stable/2152955
129. PDF
 
131. The Lehmer ProjectThe Lehmer Project (pp. 313-317)
132. D. H. Lehmer, Emma Lehmer
133. Stable URL: http://www.jstor.org/stable/2152956
134. PDF
 
136. The Factorization of the Ninth Fermat NumberThe Factorization of the Ninth Fermat Number (pp. 319-349)
137. A. K. Lenstra, H. W. Lenstra, Jr., M. S. Manasse, J. M. Pollard
138. Stable URL: http://www.jstor.org/stable/2152957
139. PDF
 
141. Continued Fractions and Linear RecurrencesContinued Fractions and Linear Recurrences (pp. 351-354)
142. H. W. Lenstra, Jr., J. O. Shallit
143. Stable URL: http://www.jstor.org/stable/2152958
144. PDF
 
146. Ambiguous Classes in Quadratic FieldsAmbiguous Classes in Quadratic Fields (pp. 355-360)
147. R. A. Mollin
148. Stable URL: http://www.jstor.org/stable/2152959
149. PDF
 
151. New Solutions of <tex-math>$a^{p - 1} \equiv 1 (\operatorname{mod} p^2)$</tex-math>New Solutions of <tex-math>$a^{p - 1} \equiv 1 (\operatorname{mod} p^2)$</tex-math> (pp. 361-363)
152. Peter L. Montgomery
153. Stable URL: http://www.jstor.org/stable/2152960
154. PDF
 
156. Generalized Fibonacci and Lucas Sequences and Rootfinding MethodsGeneralized Fibonacci and Lucas Sequences and Rootfinding Methods (pp. 365-372)
157. Joseph B. Muskat
158. Stable URL: http://www.jstor.org/stable/2152961
159. PDF
 
161. Iterated Absolute Values of Differences of Consecutive PrimesIterated Absolute Values of Differences of Consecutive Primes (pp. 373-380)
162. Andrew M. Odlyzko
163. Stable URL: http://www.jstor.org/stable/2152962
164. PDF
 
166. The Carmichael Numbers up to 10¹⁵The Carmichael Numbers up to 10¹⁵ (pp. 381-391)
167. R. G. E. Pinch
168. Stable URL: http://www.jstor.org/stable/2152963
169. PDF
 
171. Numbers having m Small mth Roots mod pNumbers having m Small mth Roots mod p (pp. 393-413)
172. Raphael M. Robinson
173. Stable URL: http://www.jstor.org/stable/2152964
174. PDF
 
176. Numerical Computations Concerning the ERHNumerical Computations Concerning the ERH (pp. 415-440)
177. Robert Rumely
178. Stable URL: http://www.jstor.org/stable/2152965
179. PDF
 
181. An Extension of the Theorem on Primitive Divisors in Algebraic Number FieldsAn Extension of the Theorem on Primitive Divisors in Algebraic Number Fields (pp. 441-444)
182. A. Schinzel
183. Stable URL: http://www.jstor.org/stable/2152966
184. PDF
 
186. A Practical Analysis of the Elliptic Curve Factoring AlgorithmA Practical Analysis of the Elliptic Curve Factoring Algorithm (pp. 445-462)
187. Robert D. Silverman, Samuel S. Wagstaff, Jr.
188. Stable URL: http://www.jstor.org/stable/2152967
189. PDF
 
191. How was F₆ Factored?How was F₆ Factored? (pp. 463-474)
192. H. C. Williams
193. Stable URL: http://www.jstor.org/stable/2152968
194. PDF
 
196. A Refinement of H. C. Williams' qth Root AlgorithmA Refinement of H. C. Williams' qth Root Algorithm (pp. 475-483)
197. Kenneth S. Williams, Kenneth Hardy
198. Stable URL: http://www.jstor.org/stable/2152969
199. PDF
 
201. Algebraic Numbers Close to Both 0 and 1Algebraic Numbers Close to Both 0 and 1 (pp. 485-491)
202. D. Zagier
203. Stable URL: http://www.jstor.org/stable/2152970
204. PDF
 
206. Supplement to A Conjecture in Addition Chains Related to Scholz's ConjectureSupplement to A Conjecture in Addition Chains Related to Scholz's Conjecture (pp. S1-S6)
207. Walter Aiello, M. V. Subbarao
208. Stable URL: http://www.jstor.org/stable/2152971
209. PDF
 
211. Supplement to Explicit Primality Criteria for h · 2^k ± 1Supplement to Explicit Primality Criteria for h · 2^k ± 1 (pp. S7-S9)
212. Wieb Bosma
213. Stable URL: http://www.jstor.org/stable/2152972
214. PDF
 
216. Supplement to On Fourier Coefficients of Maass Waveforms for PSL(2, Z)Supplement to On Fourier Coefficients of Maass Waveforms for PSL(2, Z) (pp. S11-S16)
217. D. A. Hejhal, S. Arno
218. Stable URL: http://www.jstor.org/stable/2152973
219. PDF
 
221. Supplement to Numerical Computations Concerning the ERHSupplement to Numerical Computations Concerning the ERH (pp. S17-S23)
222. Robert Rumely
223. Stable URL: http://www.jstor.org/stable/2152974
224. PDF
 
226. Back MatterBack Matter
227. Stable URL: http://www.jstor.org/stable/2152975
228. PDF
 

Next issue:

No. 204, Oct., 1993, pp. 493-944