Hostname: page-component-f554764f5-rj9fg Total loading time: 0 Render date: 2025-04-10T08:02:26.885Z Has data issue: false hasContentIssue false
  • English
  • Français

The distribution of sequences in Abelian groups

Published online by Cambridge University Press:  24 October 2008

J. S. Dennis
J. S. Dennis
Affiliation:
Peterhouse, Cambridge
Get access Rights & Permissions [Opens in a new window]

Extract

1Introduction. In this paper, I give a definition of uniform distribution for sequences taking values in certain types of Abelian group—in particular, in groups of prime exponent—and one of independent distribution for sets of such sequences. In the various cases, I find conditions for the properties to hold, which are similar to Weyl's criterion for the uniform distribution of real sequences modulo 1.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 67 , Issue 1 , January 1970 , pp. 1 - 11
Copyright
Copyright © Cambridge Philosophical Society 1970

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Article purchase

Temporarily unavailable

References

REFERENCES

(1)Conway, J. H. A tabulation of some information concerning finite fields. From Computers in mathematical research, ed. Churchhouse, and Herz, , North-Holland, 1968.Google Scholar
(2)Tretäväinen, A.On non-residues of a polynomial. Ann. Univ. Turku.. Ser. A I 94 (1966).Google Scholar
(3)Carlitz, L. and Uchiyama, S.Bounds for exponential sums. Duke Math. J. 24 (1957), 37–41.CrossRefGoogle Scholar
(4)Davenport, H. and Lewis, D. J.Character sums and primitive roots in finite fields. Bend. Circ. Mat. Palermo 12 (1963), 129–136.Google Scholar
(5)Davenport, H.On certain exponential sums. J. Heine Angew. Math. 169 (1933), 158–176.Google Scholar