## Contents of Volume 61, Number 203

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- A subexponential algorithm for discrete logarithms over all finite fields
- Leonard M. Adleman and Jonathan DeMarrais PDF
- Math. Comp.
**61**(1993), 1-15

- A conjecture in addition chains related to Scholz’s conjecture
- Walter Aiello and M. V. Subbarao PDF
- Math. Comp.
**61**(1993), 17-23

- An extension of the Lehmers’ picturesque exponential sums
- Tom M. Apostol PDF
- Math. Comp.
**61**(1993), 25-28

- Elliptic curves and primality proving
- A. O. L. Atkin and F. Morain PDF
- Math. Comp.
**61**(1993), 29-68

- Statistical evidence for small generating sets
- Eric Bach and Lorenz Huelsbergen PDF
- Math. Comp.
**61**(1993), 69-82

- A fundamental modular identity and some applications
- Richard Blecksmith, John Brillhart and Irving Gerst PDF
- Math. Comp.
**61**(1993), 83-95

- Explicit primality criteria for $h\cdot 2^ k\pm 1$
- Wieb Bosma PDF
- Math. Comp.
**61**(1993), 97-109

- Three points of great height on elliptic curves
- Andrew Bremner and Duncan A. Buell PDF
- Math. Comp.
**61**(1993), 111-115

- 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 PDF
- Math. Comp.
**61**(1993), 117-130

- On computing factors of cyclotomic polynomials
- Richard P. Brent PDF
- Math. Comp.
**61**(1993), 131-149

- Irregular primes and cyclotomic invariants to four million
- J. Buhler, R. Crandall, R. Ernvall and T. Metsänkylä PDF
- Math. Comp.
**61**(1993), 151-153

- How branching properties determine modular equations
- Harvey Cohn PDF
- Math. Comp.
**61**(1993), 155-170

- Zaremba’s conjecture and sums of the divisor function
- T. W. Cusick PDF
- Math. Comp.
**61**(1993), 171-176

- Average case error estimates for the strong probable prime test
- Ivan Damgård, Peter Landrock and Carl Pomerance PDF
- Math. Comp.
**61**(1993), 177-194

- Numerical results for sums of five and seven biquadrates and consequences for sums of $19$ biquadrates
- J.-M. Deshouillers and F. Dress PDF
- Math. Comp.
**61**(1993), 195-207

- An upper bound in Goldbach’s problem
- Jean-Marc Deshouillers, Andrew Granville, Władysław Narkiewicz and Carl Pomerance PDF
- Math. Comp.
**61**(1993), 209-213

- Estimates of the least prime factor of a binomial coefficient
- P. Erdős, C. B. Lacampagne and J. L. Selfridge PDF
- Math. Comp.
**61**(1993), 215-224

- Good parameters for a class of node sets in quasi-Monte Carlo integration
- Tom Hansen, Gary L. Mullen and Harald Niederreiter PDF
- Math. Comp.
**61**(1993), 225-234

- 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 PDF
- Math. Comp.
**61**(1993), 235-244

- On Fourier coefficients of Maass waveforms for $\mathrm {PSL}(2, \textbf {Z})$
- D. A. Hejhal and S. Arno PDF
- Math. Comp.
**61**(1993), 245-267

- On the cuspidal spectrum of the arithmetic Hecke groups
- Marvin I. Knopp PDF
- Math. Comp.
**61**(1993), 269-275

- Johann Faulhaber and sums of powers
- Donald E. Knuth PDF
- Math. Comp.
**61**(1993), 277-294

- Cyclotomy and delta units
- Andrew J. Lazarus PDF
- Math. Comp.
**61**(1993), 295-305

- The mathematical work of Morgan Ward
- D. H. Lehmer PDF
- Math. Comp.
**61**(1993), 307-311

- The Lehmer project
- D. H. Lehmer and Emma Lehmer PDF
- Math. Comp.
**61**(1993), 313-317

- The factorization of the ninth Fermat number
- A. K. Lenstra, H. W. Lenstra, M. S. Manasse and J. M. Pollard PDF
- Math. Comp.
**61**(1993), 319-349

- Continued fractions and linear recurrences
- H. W. Lenstra and J. O. Shallit PDF
- Math. Comp.
**61**(1993), 351-354

- Ambiguous classes in quadratic fields
- R. A. Mollin PDF
- Math. Comp.
**61**(1993), 355-360

- New solutions of $a^ {p-1}\equiv 1\pmod {p^ 2}$
- Peter L. Montgomery PDF
- Math. Comp.
**61**(1993), 361-363

- Generalized Fibonacci and Lucas sequences and rootfinding methods
- Joseph B. Muskat PDF
- Math. Comp.
**61**(1993), 365-372

- Iterated absolute values of differences of consecutive primes
- Andrew M. Odlyzko PDF
- Math. Comp.
**61**(1993), 373-380

- The Carmichael numbers up to $10^ {15}$
- R. G. E. Pinch PDF
- Math. Comp.
**61**(1993), 381-391

- Numbers having $m$ small $m$th roots mod $p$
- Raphael M. Robinson PDF
- Math. Comp.
**61**(1993), 393-413

- Numerical computations concerning the ERH
- Robert Rumely PDF
- Math. Comp.
**61**(1993), 415-440

- An extension of the theorem on primitive divisors in algebraic number fields
- A. Schinzel PDF
- Math. Comp.
**61**(1993), 441-444

- A practical analysis of the elliptic curve factoring algorithm
- Robert D. Silverman and Samuel S. Wagstaff PDF
- Math. Comp.
**61**(1993), 445-462

- How was $F_ 6$ factored?
- H. C. Williams PDF
- Math. Comp.
**61**(1993), 463-474

- A refinement of H. C. Williams’ $q$th root algorithm
- Kenneth S. Williams and Kenneth Hardy PDF
- Math. Comp.
**61**(1993), 475-483

- Algebraic numbers close to both $0$ and $1$
- D. Zagier PDF
- Math. Comp.
**61**(1993), 485-491