Online publications
- Archimedes the astronomer, to appear in
``Biographical Encyclopedia of Astronomers,''
Thomas Hockey, editor, Kluwer Academic Publishers.
ps file ,
LaTeX file
- With Cyril Banderier,
An Introduction to Analytic Number Theory.
- With Y.--F. S. P'etermann and J.--L. R'emy,
Discrete derivatives of sequences,
Advances in Applied Mathematics
27 (2001), 562-584.
ps file
- Solutions to the year 2000 International Mathematical
Olympiad, preprint, November 2000.
ps file
- Archimede face a l'innombrable, preprint, July 2000.
ps file
- With Philippe Flajolet and Brigitte Vall'ee,
Continued fractions from Euclid to the
present day, preprint March 2000,
ps file
- Mekh-mat entrance examination problems, IHES preprint M/00/06,
ps file
- Deterministic percolation, Communications in
Mathematical Physics 207 (1999), 43-66.
Original article (pdf file),
ps file
- What is Ancient Mathematics? Mathematical
Intelligencer 21 (1999), 38-47.
ps file ,
tex file.
-
Premiers chiffres significatifs et nombres algebriques,
Comptes Rendus de l'Academie des Science, Serie I 328 (1999),
749-754.
Original article (pdf file),
ps file ,
tex file .
-
With A. Carbone, M. Gromov, and P. Przinkiewicz,
Preface to
Pattern
Formation in Biology, Vision, and Dynamics,
World Scientific, London, 2000.
ps file ,
tex file .
- Archimedes' Cattle Problem,
American Math. Monthly,
105 (1998), 305--319, ps file ,
tex file .
- Prime Percolation,
Experimental
Mathematics 7 (1998), 275--288.
ps file .
-
The St. Petersburg game and continued fractions,
C. R. Acad. Sci. Paris Ser. I Math. 324 (1997),
913--918.
ps file ,
tex file .
- Code and Pseudo Code, Mathematica
Journal 6, Issue 2 (1996), 66-71.
ps file ,
tex file .
(Includes efficient implementation
of Gosper's continued fraction artithmetic.)
- Multiple weight enumerators of codes, preprint 1998.
ps file ,
tex file .
- With Philippe Flajolet, Zeta function expansions of classical
constants, ps file ,
tex file .
Publications
- Archimedes the astronomer, to appear in
``Biographical Encyclopedia of Astronomers,''
Thomas Hockey, editor, Kluwer Academic Publishers.
- With Y.-F.S. P'etermann and J.-L. R'emy,
Discrete derivatives of sequences,
Advances in Applied Mathematics
27 (2001), 562-584.
- Archimede face a l'innombrable, Pour La
Science, decembre 2000, 40--43.
- Deterministic percolation,
Communications in
Mathematical Physics 207 (1999), 43-66.
- With Y.-F.S. P'etermann and J.-L. R'emy,
On a functional differential equation related to
Golomb's sequence, Journal de Th'eorie des Nombres
de Bordeaux 11 (1999), 211-230.
- What is Ancient Mathematics? Mathematical
Intelligencer 21 (1999) no.~3, 38-47.
-
Premiers chiffres significatifs et nombres algebriques,
Comptes Rendus de l'Academie des Science, Serie I 328 (1999),
749-754.
-
Prime percolation,
Experimental Mathematics 7 (1998), 275--288.
- Archimedes's Cattle Problem,
American Math. Monthly 105 (1998), 305--319.
- The St. Petersburg game and continued fractions,
C. R. Acad. Sci. Paris Ser. I Math. 324 (1997),
913--918.
- Code and Pseudo Code, Mathematica
Journal 6, Issue 2 (1996), 66-71.
- The limiting distribution of the St. Petersburg game,
Proceedings of the A.M.S. 123 (1995), 2875-2882.
-
With I. Rivin and P. Zimmermann, The n-queens problem,
American Math. Monthly 101 (1994), 629-939.
- Dedekind sums have a limiting distribution,
Inter. Math. Research Notices (1993), 1--12, in Duke Math. J.
69 (1993).
- The error term in Golomb's sequence, J. of Number
Theory 48 (1992), 1-11.
- A sampler of elegant programs,
Mathematica Journal 1 (1991), 53-55.
- Computational Recreations in Mathematica,
Addison-Wesley, Reading, MA 1991.
-
With H.A. Cunningham,
A vector-sum process produces curved aiming paths under
rotated visual-motor mappings, Bio. Cybernetics 64 (1990),
117-128.
- Definite Integrals an Introduction to Analytic Number Theory,
American Math. Monthly 95 (1988), 308-315.
- Determinants of Laplacians and Multiple Gamma Functions,
SIAM Journal on Math. Analysis 19 (1988), 493-507.
- A Relation between Dedekind Sums and Kloosterman Sums,
Duke Math. Journal 55 (1987), 189-197.
- On the Spectrum of the Metaplectic Group with Applications
to Dedekind Sums, Ph.D. thesis, MIT 1982.
Preprints and problems
-
With D.E. Knuth, Problem 6581 (the asymptotic expansion of
2n choose n), American Mathematical Monthly
95 (1988), p. 774.
- Problem 6587 (determinants of Kloosterman sums),
American Mathematical Monthly 95 (1988), p. 963.
-
A lattice spiral,
Mathematica Journal, 1 (1991), 56.
-
Multiple enumerators of codes, preprint 1994.
-
A Classical Reeducation, book in preparation.
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