Pacific Journal of Mathematics

Character sums and difference sets.

Richard J. Turyn

Article information

Source
Pacific J. Math., Volume 15, Number 1 (1965), 319-346.

Dates
First available in Project Euclid: 13 December 2004

Permanent link to this document
https://projecteuclid.org/euclid.pjm/1102996015

Mathematical Reviews number (MathSciNet)
MR0179098

Zentralblatt MATH identifier
0135.05403

Subjects
Primary: 05.22
Secondary: 10.41

Citation

Turyn, Richard J. Character sums and difference sets. Pacific J. Math. 15 (1965), no. 1, 319--346. https://projecteuclid.org/euclid.pjm/1102996015


Export citation

References

  • [1] R. H. Bruck, Difference sets in a finite group, Trans. Amer. Math. Soc, 78 (1955), 464-481.
  • [2] R. H. Bruck, and H. J. Ryser, The nonexistence of certain finite protective planes, Canad. J. Math. 1 (1949), 88-93.
  • [3] S. Chowla, and H. J. Ryser, Combinatorial problems, Canad. J. Math. 57 (1935), 391-424.
  • [4] Marshall Hall, and H. J. Ryser, Cyclic incidence matrices, Canad. J. Math. 3 (1951), 495-502.
  • [5] Marshall, Jr. Hall, A survey of difference sets, Proc. Amer. Soc. 7 (1956), 975-986.
  • [6] J. B. Kelly, A characteristic property of quadratic residues, Proc. Amer. Soc. 5 (1954), 38-46.
  • [7] Emma Lehmer, On residue difference sets, Canad. J. Math. 5 (1953), 425-432.
  • [8] H. B. Mann, Balanced incomplete block designs and abelian difference sets, Illinois J. Math. 8 (1964), 252-261.
  • [9] P. Kesava Menon, Difference sets in abelian groups, Proc. Amer. Math. Soc. 11 (1960), 368-376.
  • [10] P. Kesava Menon, On difference sets whose parameters satisfy a certain relation, Proc. Amer. Math. Soc. 13 (1962), 739-745.
  • [11] R. Turyn, and J. Storer, On binary sequences, Proc. Amer. Math. Soc. 12 (1961), 394-399.
  • [12] R. Turyn, The multiplier theorem for difference sets, Canad. J. Math. 16 (1964), 386-388.
  • [13] R. Turyn, Optimum finite codes, final report, Sylvania Electric Products, Inc., 1960.
  • [14] R. Turyn, Finite binary sequences, final report, (Chapter VI) Sylvania Electric Products, Inc., 1961.
  • [15] Hermann Weyl, Algebraic theory of numbers, Princeton, 1940.