ArticleOriginal scientific text

Title

On a result of Mahler on the decimal expansions of (nα)

Authors 1, 2

Affiliations

  1. Department of Mathematics and Computer Science, Ben-Gurion University, Beer-Sheva 84105, Israel
  2. Department of Mathematics, Rice University, Houston, Texas 77251, U.S.A.

Bibliography

  1. [AP] N. Alon and Y. Peres, Uniform dilations, J. Geom. Funct. Anal. 2 (1992), 1-28.
  2. [B] M. Boshernitzan, Uniform distribution and Hardy fields, J. Analyse Math., to appear.
  3. [C] J. R. Chen, On Professor Hua's estimate of exponential sums , Sci. Sinica 20 (1977), 711-719.
  4. [G] S. Glasner, Almost periodic sets and measures on the torus, Israel J. Math. 32 (1979), 161-172.
  5. [H] L. K. Hua, Introduction to Number Theory, Springer, New York, 1982.
  6. [KN] L. Kuipers and H. Niederreiter, Uniform Distribution of Sequences, Wiley, New York, 1974.
  7. [M] K. Mahler, Arithmetical properties of the digits of the multiples of an irrational number, Bull. Austral. Math. Soc. 8 (1973), 191-203.
  8. [S] S. B. Stečkin, An estimate of a complete rational trigonometric sum, Analytic Number Theory, Mathematical Analysis and their Applications, Trudy Mat. Inst. Steklov. 143 (1977), 188-207, 211; English transl.: Proc. Steklov Inst. Math. (1980), 201-220.
  9. [W] H. Weyl, Über die Gleichverteilung von Zahlen mod. Eins, Math. Ann. 77 (1916), 313-352.
Pages:
315-322
Main language of publication
English
Received
1992-08-10
Published
1994
Exact and natural sciences