Contents of Volume 61, Number 203

All articles in this issue are freely accessible.

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A subexponential algorithm for discrete logarithms over all finite fields

Leonard M. Adleman and Jonathan DeMarrais.
Math. Comp. 61 (1993), 1-15
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MathSciNet review: 1225541

A conjecture in addition chains related to Scholz’s conjecture

Walter Aiello and M. V. Subbarao.
Math. Comp. 61 (1993), 17-23, S1
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MathSciNet review: 1189515

An extension of the Lehmers’ picturesque exponential sums

Tom M. Apostol.
Math. Comp. 61 (1993), 25-28
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MathSciNet review: 1182242

Elliptic curves and primality proving

A. O. L. Atkin and F. Morain.
Math. Comp. 61 (1993), 29-68
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MathSciNet review: 1199989

Statistical evidence for small generating sets

Eric Bach and Lorenz Huelsbergen.
Math. Comp. 61 (1993), 69-82
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MathSciNet review: 1195432

A fundamental modular identity and some applications

Richard Blecksmith, John Brillhart and Irving Gerst.
Math. Comp. 61 (1993), 83-95
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MathSciNet review: 1197509

Explicit primality criteria for $h⋅2^{k}±1$

Wieb Bosma.
Math. Comp. 61 (1993), 97-109, S7
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MathSciNet review: 1197510

Three points of great height on elliptic curves

Andrew Bremner and Duncan A. Buell.
Math. Comp. 61 (1993), 111-115
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MathSciNet review: 1182243

Which integers are representable as the product of the sum of three integers with the sum of their reciprocals?

Andrew Bremner, Richard K. Guy and Richard J. Nowakowski.
Math. Comp. 61 (1993), 117-130
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MathSciNet review: 1189516

On computing factors of cyclotomic polynomials

Richard P. Brent.
Math. Comp. 61 (1993), 131-149
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MathSciNet review: 1205459

Irregular primes and cyclotomic invariants to four million

J. Buhler, R. Crandall, R. Ernvall and T. Metsänkylä.
Math. Comp. 61 (1993), 151-153
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MathSciNet review: 1197511

How branching properties determine modular equations

Harvey Cohn.
Math. Comp. 61 (1993), 155-170
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MathSciNet review: 1195433

Zaremba’s conjecture and sums of the divisor function

T. W. Cusick.
Math. Comp. 61 (1993), 171-176
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MathSciNet review: 1189517

Average case error estimates for the strong probable prime test

Ivan Damgård, Peter Landrock and Carl Pomerance.
Math. Comp. 61 (1993), 177-194
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MathSciNet review: 1189518

Numerical results for sums of five and seven biquadrates and consequences for sums of $19$ biquadrates

J.-M. Deshouillers and F. Dress.
Math. Comp. 61 (1993), 195-207
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MathSciNet review: 1201766

An upper bound in Goldbach’s problem

Jean-Marc Deshouillers, Andrew Granville, Władysław Narkiewicz and Carl Pomerance.
Math. Comp. 61 (1993), 209-213
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MathSciNet review: 1202609

Estimates of the least prime factor of a binomial coefficient

P. Erdős, C. B. Lacampagne and J. L. Selfridge.
Math. Comp. 61 (1993), 215-224
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MathSciNet review: 1199990

Good parameters for a class of node sets in quasi-Monte Carlo integration

Tom Hansen, Gary L. Mullen and Harald Niederreiter.
Math. Comp. 61 (1993), 225-234
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MathSciNet review: 1182244

On solving the Diophantine equation $x^{3}+y^{3}+z^{3}=k$ on a vector computer

D. R. Heath-Brown, W. M. Lioen and H. J. J. te Riele.
Math. Comp. 61 (1993), 235-244
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MathSciNet review: 1202610

On Fourier coefficients of Maass waveforms for $\mathrm{PSL}(2, Z)$

D. A. Hejhal and S. Arno.
Math. Comp. 61 (1993), 245-267, S11
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MathSciNet review: 1199991

On the cuspidal spectrum of the arithmetic Hecke groups

Marvin I. Knopp.
Math. Comp. 61 (1993), 269-275
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MathSciNet review: 1189519

Johann Faulhaber and sums of powers

Donald E. Knuth.
Math. Comp. 61 (1993), 277-294
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MathSciNet review: 1197512

Cyclotomy and delta units

Andrew J. Lazarus.
Math. Comp. 61 (1993), 295-305
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MathSciNet review: 1189520

The mathematical work of Morgan Ward

D. H. Lehmer.
Math. Comp. 61 (1993), 307-311
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MathSciNet review: 1182245

The Lehmer project

D. H. Lehmer and Emma Lehmer.
Math. Comp. 61 (1993), 313-317
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MathSciNet review: 1189521

The factorization of the ninth Fermat number

A. K. Lenstra, H. W. Lenstra, M. S. Manasse and J. M. Pollard.
Math. Comp. 61 (1993), 319-349
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MathSciNet review: 1182953

Continued fractions and linear recurrences

H. W. Lenstra and J. O. Shallit.
Math. Comp. 61 (1993), 351-354
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MathSciNet review: 1192972

Ambiguous classes in quadratic fields

R. A. Mollin.
Math. Comp. 61 (1993), 355-360
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MathSciNet review: 1195434

New solutions of $a^{p-1}≡1\pmod{p^{2}}$

Peter L. Montgomery.
Math. Comp. 61 (1993), 361-363
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MathSciNet review: 1182246

Generalized Fibonacci and Lucas sequences and rootfinding methods

Joseph B. Muskat.
Math. Comp. 61 (1993), 365-372
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MathSciNet review: 1192974

Iterated absolute values of differences of consecutive primes

Andrew M. Odlyzko.
Math. Comp. 61 (1993), 373-380
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MathSciNet review: 1182247

The Carmichael numbers up to $10^{15}$

R. G. E. Pinch.
Math. Comp. 61 (1993), 381-391
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MathSciNet review: 1202611

Numbers having $m$ small $m$th roots mod $p$

Raphael M. Robinson.
Math. Comp. 61 (1993), 393-413
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MathSciNet review: 1189522

Numerical computations concerning the ERH

Robert Rumely.
Math. Comp. 61 (1993), 415-440, S17
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MathSciNet review: 1195435

An extension of the theorem on primitive divisors in algebraic number fields

A. Schinzel.
Math. Comp. 61 (1993), 441-444
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MathSciNet review: 1189523

A practical analysis of the elliptic curve factoring algorithm

Robert D. Silverman and Samuel S. Wagstaff.
Math. Comp. 61 (1993), 445-462
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MathSciNet review: 1122078

How was $F_{6}$ factored?

H. C. Williams.
Math. Comp. 61 (1993), 463-474
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MathSciNet review: 1182248

A refinement of H. C. Williams’ $q$th root algorithm

Kenneth S. Williams and Kenneth Hardy.
Math. Comp. 61 (1993), 475-483
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MathSciNet review: 1182249

Algebraic numbers close to both $0$ and $1$

D. Zagier.
Math. Comp. 61 (1993), 485-491
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MathSciNet review: 1197513