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Infinite covering systems of congruences which don't exist
Author(s):
Ethan
Lewis
Journal:
Proc. Amer. Math. Soc.
124
(1996),
355-360.
MSC (1991):
Primary 11B25;
Secondary 11A07
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Abstract:
We prove there is no infinite set of congruences with: every integer satisfying exactly one congruence, distinct moduli, the sum of the reciprocals of the moduli equal to 1, the lcm of the moduli divisible by only finitely many primes, and a prime greater than 3 dividing any of the moduli.
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Additional Information:
Ethan
Lewis
Affiliation:
Department of Mathematics, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6395
Email:
ethan@thales.math.upenn.edu
DOI:
10.1090/S0002-9939-96-03088-2
PII:
S 0002-9939(96)03088-2
Received by editor(s):
December 9, 1992
Received by editor(s) in revised form:
April 18, 1994 and August 20, 1994
Additional Notes:
Supported in part by DOE grant P200A20337.
Communicated by:
William W. Adams
Copyright of article:
Copyright
1996,
American Mathematical Society
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