Online publications

  1. Archimedes the astronomer, to appear in ``Biographical Encyclopedia of Astronomers,'' Thomas Hockey, editor, Kluwer Academic Publishers. ps file , LaTeX file
  2. With Cyril Banderier, An Introduction to Analytic Number Theory.
  3. 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
  4. Solutions to the year 2000 International Mathematical Olympiad, preprint, November 2000. ps file
  5. Archimede face a l'innombrable, preprint, July 2000. ps file
  6. With Philippe Flajolet and Brigitte Vall'ee, Continued fractions from Euclid to the present day, preprint March 2000, ps file
  7. Mekh-mat entrance examination problems, IHES preprint M/00/06, ps file
  8. Deterministic percolation, Communications in Mathematical Physics 207 (1999), 43-66. Original article (pdf file), ps file
  9. What is Ancient Mathematics? Mathematical Intelligencer 21 (1999), 38-47. ps file , tex file.
  10. 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 .
  11. 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 .
  12. Archimedes' Cattle Problem, American Math. Monthly, 105 (1998), 305--319, ps file , tex file .
  13. Prime Percolation, Experimental Mathematics 7 (1998), 275--288. ps file .
  14. The St. Petersburg game and continued fractions, C. R. Acad. Sci. Paris Ser. I Math. 324 (1997), 913--918. ps file , tex file .
  15. 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.)
  16. Multiple weight enumerators of codes, preprint 1998. ps file , tex file .
  17. With Philippe Flajolet, Zeta function expansions of classical constants, ps file , tex file .


Publications

  1. Archimedes the astronomer, to appear in ``Biographical Encyclopedia of Astronomers,'' Thomas Hockey, editor, Kluwer Academic Publishers.
  2. With Y.-F.S. P'etermann and J.-L. R'emy, Discrete derivatives of sequences, Advances in Applied Mathematics 27 (2001), 562-584.
  3. Archimede face a l'innombrable, Pour La Science, decembre 2000, 40--43.
  4. Deterministic percolation, Communications in Mathematical Physics 207 (1999), 43-66.
  5. 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.
  6. What is Ancient Mathematics? Mathematical Intelligencer 21 (1999) no.~3, 38-47.
  7. Premiers chiffres significatifs et nombres algebriques, Comptes Rendus de l'Academie des Science, Serie I 328 (1999), 749-754.
  8. Prime percolation, Experimental Mathematics 7 (1998), 275--288.
  9. Archimedes's Cattle Problem, American Math. Monthly 105 (1998), 305--319.
  10. The St. Petersburg game and continued fractions, C. R. Acad. Sci. Paris Ser. I Math. 324 (1997), 913--918.
  11. Code and Pseudo Code, Mathematica Journal 6, Issue 2 (1996), 66-71.
  12. The limiting distribution of the St. Petersburg game, Proceedings of the A.M.S. 123 (1995), 2875-2882.
  13. With I. Rivin and P. Zimmermann, The n-queens problem, American Math. Monthly 101 (1994), 629-939.
  14. Dedekind sums have a limiting distribution, Inter. Math. Research Notices (1993), 1--12, in Duke Math. J. 69 (1993).
  15. The error term in Golomb's sequence, J. of Number Theory 48 (1992), 1-11.
  16. A sampler of elegant programs, Mathematica Journal 1 (1991), 53-55.
  17. Computational Recreations in Mathematica, Addison-Wesley, Reading, MA 1991.
  18. With H.A. Cunningham, A vector-sum process produces curved aiming paths under rotated visual-motor mappings, Bio. Cybernetics 64 (1990), 117-128.
  19. Definite Integrals an Introduction to Analytic Number Theory, American Math. Monthly 95 (1988), 308-315.
  20. Determinants of Laplacians and Multiple Gamma Functions, SIAM Journal on Math. Analysis 19 (1988), 493-507.
  21. A Relation between Dedekind Sums and Kloosterman Sums, Duke Math. Journal 55 (1987), 189-197.
  22. On the Spectrum of the Metaplectic Group with Applications to Dedekind Sums, Ph.D. thesis, MIT 1982.
Preprints and problems
  1. With D.E. Knuth, Problem 6581 (the asymptotic expansion of 2n choose n), American Mathematical Monthly 95 (1988), p. 774.
  2. Problem 6587 (determinants of Kloosterman sums), American Mathematical Monthly 95 (1988), p. 963.
  3. A lattice spiral, Mathematica Journal, 1 (1991), 56.
  4. Multiple enumerators of codes, preprint 1994.
  5. A Classical Reeducation, book in preparation.
Back to ilan's home page.