Andrew Odlyzko: Papers on Number Theory (that are not primarily computational nor deal with zeros of zeta functions)

• Emerging Applications of Number Theory, D. A. Hejhal, J. Friedman, M. C. Gutzwiller, and A. M. Odlyzko, eds., Springer Verlag, 1999. [Preface, PDF] [Table of Contents, PDF]

• Jumping champions, A. Odlyzko, M. Rubinstein, and M. Wolf, Experimental Math., 8 (no. 2) (1999), pp. 107-118. [PDF, 2 MB] [Exp. Math. version]

• Construction of invertible sequences for multipath estimation, A. M. Odlyzko, pp. 323-331 in Communications and Cryptography: Two sides of One Tapestry, R. E. Blahut, D. J. Costello, Jr., U. Maurer, and T. Mittelholzer (eds.), Kluwer, (1994). [PDF]

• On the distribution of multiplicative translates of sets of residues (mod p), J. Hastad, J. C. Lagarias, and A. M. Odlyzko, J. Number Theory, 46 (1994), pp. 108-122. [PDF]

• Zeros of polynomials with 0,1 coefficients, A. M. Odlyzko and B. Poonen, L'Enseign. Math., 39 (1993), pp. 317-348. [online journal version] [PDF]

• Explicit Tauberian estimates for functions with positive coefficients, A. M. Odlyzko, J. Computational Appl. Math., 41 (1992), pp. 187-197. [PDF] [comments]

• On the packing densities of superballs and other bodies, N. D. Elkies, A. M. Odlyzko, and J. A. Rush, Inventiones math., 105 (1991), pp. 613-639. [online journal version]

• Lattice points in high-dimensional spheres, J. E. Mazo and A. M. Odlyzko, Monatsh. Math., 110 (1990), pp. 47-61. [online journal version]

• Differences of the partition function, A. M. Odlyzko, Acta Arith., 49 (1988), pp. 237-254. [online journal version]

• On the residues of products of prime numbers, P. Erdos, A. M. Odlyzko, and A. Sarkozy, Period. Math. Hungar., 18 (1987), pp. 229-239.

• On the density of sequences of integers the sum of no two of which is a square. II. General sequences, J. C. Lagarias, A. M. Odlyzko, and J. B. Shearer, J. Comb. Theory A, 34 (1982), pp. 123-139. [PDF]

• On the density of sequences of integers the sum of no two of which is a square. I. Arithmetic progressions, J. C. Lagarias, A. M. Odlyzko, and J. B. Shearer, J. Comb. Theory A, 33 (1982), pp. 167-185.

• On the unimodality of some partition polynominals, A. M. Odlyzko and B. Richmond, European J. Combinatorics, 3 (1982), pp. 69-84.

• Values of cyclotomic polynomials at roots of unity, R. P. Kurshan and A. M. Odlyzko, Math. Scand., 49 (1981), pp. 15-35.

• On an irreducibility theorem of A. Cohn, J. Brillhart, M. Filaseta, and A. M. Odlyzko, Canad. J. Math., 33 (1981), pp. 1055-1059.

• On exceptions of integral quadratic forms, A. M. Odlyzko and N. J. A. Sloane, J. reine angew. Math., 321 (1981), pp. 212-216. [online journal version]

• A theta-function identity for nonlattice packings, A. M. Odlyzko and N. J. A. Sloane, Studia Sci. Math. Hungar., 15 (1980), pp. 461-465. Reprinted in Development of the Mathematical Ideas of Mykhailo Kravchuk (Krawtchouk), N. Virchenko, I. Katchanovski, V. Haidey, R. Andrushkiw, and R. Voronka, eds., National Technical University of Ukraine "KPI," 2004, pp. 453-457.

• Divisibility properties of some cyclotomic sequences, J. C. Lagarias and A. M. Odlyzko, Amer. Math. Monthly, 87 (1980), pp. 561-564.

• Recursive linear digital filters with a uniform power distribution, R. P. Kurshan and A. M. Odlyzko, Electronics Letters, 16 (1980), pp. 672-673.

• New bounds on the number of unit spheres that can touch a unit sphere in n dimensions, A. M. Odlyzko and N. J. A. Sloane, J. Comb. Theory A, 26 (1979), pp. 210-214. Reprinted in modified form as Chapter 13, Bounds on kissing numbers, pp. 337-339 in J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Codes, Springer 1988.

• On the density of odd integers of the form (p-1)/2^k and related questions, P. Erdos and A. M. Odlyzko, J. Number Theory, 11 (1979), pp. 257-263.

• Enumeration of power sums modulo a prime, A. M. Odlyzko and R. P. Stanley, J. Number Theory, 10 (1978), pp. 263-272.

• Nonnegative digit sets in positional number systems, A. M. Odlyzko, Proc. London Math. Soc. (3), 37 (1978), pp. 213-229.

• Extremal self-dual lattices exist only in dimensions 1-8, 12, 14, 15, 23, and 24, J. H. Conway, A. M. Odlyzko, and N. J. A. Sloane, Mathematika, 25 (1978), pp. 36-43. Reprinted in modified form as Chapter 19, Enumeration of extremal self-dual lattices, pp. 439-442 in J. H. Conway and N. J. A. Sloane, Sphere Packings, Lattices and Codes, Springer 1988.

• Pelikan's conjecture and cyclotomic cosets, F. J. MacWilliams and A. M. Odlyzko, J. Combinatorial Theory A, 22 (1977), pp. 110-114.

• Upper bounds for modular forms, lattices, and codes, C. L. Mallows, A. M. Odlyzko, and N. J. A. Sloane, J. Algebra, 36 (1975), pp. 68-76.

• Lattice points and the volume/area ratio of convex bodies, J. Bokowski and A. M. Odlyzko, Geometriae Dedicata, 2 (1973), pp. 249-254.

• On lattice points inside convex bodies, A. M. Odlyzko, Amer. Math. Monthly, 80 (1973), pp. 915-918.

• Sieve methods, A. M. Odlyzko, California Inst. Tech., 1971. (Senior thesis. Lecture notes.) [online version,PDF]