Contents of Volume 48, Number 177

All articles in this issue are freely accessible.

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Characterizing pseudoprimes for third-order linear recurrences

William W. Adams.
Math. Comp. 48 (1987), 1-15
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MathSciNet review: 866094

Solving bivariate quadratic congruences in random polynomial time

Leonard M. Adleman, Dennis R. Estes and Kevin S. McCurley.
Math. Comp. 48 (1987), 17-28
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MathSciNet review: 866095

Parity results for certain partition functions and identities similar to theta function identities

Richard Blecksmith, John Brillhart and Irving Gerst.
Math. Comp. 48 (1987), 29-38
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MathSciNet review: 866096

The computation of the fundamental unit of totally complex quartic orders

Johannes Buchmann.
Math. Comp. 48 (1987), 39-54
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MathSciNet review: 866097

On principal ideal testing in totally complex quartic fields and the determination of certain cyclotomic constants

Johannes Buchmann and H. C. Williams.
Math. Comp. 48 (1987), 55-66
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MathSciNet review: 866098

The cyclotomic numbers of order fifteen

Nicholas Buck, Lones Smith, Blair K. Spearman and Kenneth S. Williams.
Math. Comp. 48 (1987), 67-83
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MathSciNet review: 866099

Class groups of quadratic fields. II

Duncan A. Buell.
Math. Comp. 48 (1987), 85-93
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MathSciNet review: 866100

Computing in the Jacobian of a hyperelliptic curve

David G. Cantor.
Math. Comp. 48 (1987), 95-101
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MathSciNet review: 866101

Implementation of a new primality test

H. Cohen and A. K. Lenstra.
Math. Comp. 48 (1987), 103-121, S1
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MathSciNet review: 866102

Class groups of number fields: numerical heuristics

H. Cohen and J. Martinet.
Math. Comp. 48 (1987), 123-137
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MathSciNet review: 866103

Application of symbolic manipulation to Hecke transformations of modular forms in two variables

Harvey Cohn and Jesse Deutsch.
Math. Comp. 48 (1987), 139-146
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MathSciNet review: 866104

A table of fundamental pairs of units in totally real cubic fields

T. W. Cusick and Lowell Schoenfeld.
Math. Comp. 48 (1987), 147-158
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MathSciNet review: 866105

Hecke operators and the fundamental domain for $SL(3,Z)$

Daniel Gordon, Douglas Grenier and Audrey Terras.
Math. Comp. 48 (1987), 159-178
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MathSciNet review: 866106

Special units in real cyclic sextic fields

Marie-Nicole Gras.
Math. Comp. 48 (1987), 179-182
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MathSciNet review: 866107

Primes at a glance

R. K. Guy, C. B. Lacampagne and J. L. Selfridge.
Math. Comp. 48 (1987), 183-202
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MathSciNet review: 866108

Elliptic curve cryptosystems

Neal Koblitz.
Math. Comp. 48 (1987), 203-209
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MathSciNet review: 866109

Cyclotomic resultants

D. H. Lehmer and Emma Lehmer.
Math. Comp. 48 (1987), 211-216
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MathSciNet review: 866110

Primitive normal bases for finite fields

H. W. Lenstra and R. J. Schoof.
Math. Comp. 48 (1987), 217-231
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MathSciNet review: 866111

Class numbers of quadratic fields determined by solvability of Diophantine equations

R. A. Mollin.
Math. Comp. 48 (1987), 233-242
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MathSciNet review: 866112

Speeding the Pollard and elliptic curve methods of factorization

Peter L. Montgomery.
Math. Comp. 48 (1987), 243-264
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MathSciNet review: 866113

Numerical values of Goldberg’s coefficients in the series for $log(e^{x}e^{y})$

Morris Newman and Robert C. Thompson.
Math. Comp. 48 (1987), 265-271
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MathSciNet review: 866114

On the distribution of spacings between zeros of the zeta function

A. M. Odlyzko.
Math. Comp. 48 (1987), 273-308
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MathSciNet review: 866115

On computing isomorphisms of equation orders

M. Pohst.
Math. Comp. 48 (1987), 309-314
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MathSciNet review: 866116

Very short primality proofs

Carl Pomerance.
Math. Comp. 48 (1987), 315-322
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MathSciNet review: 866117

On the sign of the difference $𝜋(x)-li(x)$

Herman J. J. te Riele.
Math. Comp. 48 (1987), 323-328
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MathSciNet review: 866118

The multiple polynomial quadratic sieve

Robert D. Silverman.
Math. Comp. 48 (1987), 329-339
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MathSciNet review: 866119

New congruences for the Bernoulli numbers

Jonathan W. Tanner and Samuel S. Wagstaff.
Math. Comp. 48 (1987), 341-350
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MathSciNet review: 866120

Computation of the Néron-Tate height on elliptic curves

Heinz M. Tschöpe and Horst G. Zimmer.
Math. Comp. 48 (1987), 351-370
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MathSciNet review: 866121

Class numbers of the simplest cubic fields

Lawrence C. Washington.
Math. Comp. 48 (1987), 371-384
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MathSciNet review: 866122

Effective primality tests for some integers of the forms $A5^{n}-1$ and $A7^{n}-1$

H. C. Williams.
Math. Comp. 48 (1987), 385-403
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MathSciNet review: 866123

On the parallel generation of the residues for the continued fraction factoring algorithm

H. C. Williams and M. C. Wunderlich.
Math. Comp. 48 (1987), 405-423
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MathSciNet review: 866124

Large integral points on elliptic curves

Don Zagier.
Math. Comp. 48 (1987), 425-436
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MathSciNet review: 866125

Reviews and Descriptions of Tables and Books

Math. Comp. 48 (1987), 437-446
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Corrigendum: “Estimates for the Chebyshev function $𝜓(x)-𝜃(x)$” [Math. Comp. 44 (1985), no. 169, 211–221; MR0771046 (86k:11005)]

N. Costa Pereira.
Math. Comp. 48 (1987), 447
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MathSciNet review: 866126