A theorem on the 
-adic representation of positive integers
Author:
Yuguang Fang
Journal:
Proc. Amer. Math. Soc. 130 (2002), 1619-1622
MSC (2000):
Primary 11A63, 11A25, 11N37
DOI:
https://doi.org/10.1090/S0002-9939-01-06303-1
Published electronically:
November 15, 2001
MathSciNet review:
1887007
Full-text PDF Free Access
Abstract | References | Similar Articles | Additional Information
Abstract: In this paper, a theorem on the asymptotic property of a summation of digits in a 
-adic representation is presented.
- 1. L. E. Bush, An asymptotic formula for the average sum of the digits of integers, Amer. Math. Monthly 47 (1940), 154-156. MR 1:199f
- 2. R. Bellman and H. N. Shapiro, On a problem in additive number theory, Ann. of Math. (2) 49 (1948), 333-340. MR 9:414a
- 3.
L. Mirsky, A theorem on representation of integers in the scale of
, Scripta Math. 15 (1949), 11-12. MR 11:83g
- 4.
P. H. Cheo and Y. C. Yien, A problem on the
-adic representation of positive integers, Acta Math. Sinica 5 (1955), 433-438. MR 17:828b
- 5. Hansraj Gupta, Selected topics in number theory, Abacus Press, Tunbridge Wells, 1980. MR 572086
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Additional Information
Yuguang Fang
Affiliation:
Department of Electrical and Computer Engineering, University of Florida, 435 Engineering Building, P.O. Box 116130, Gainesville, Florida 32611-6130
Email:
fang@ece.ufl.edu
DOI:
https://doi.org/10.1090/S0002-9939-01-06303-1
Keywords:
$k$-adic,
asymptotic property,
arithmetic function,
number theory
Received by editor(s):
January 10, 2001
Published electronically:
November 15, 2001
Communicated by:
David E. Rohrlich
Article copyright:
© Copyright 2001
American Mathematical Society
