✦ LIBER ✦

Remarks on a Paper of Wagner

✍ Scribed by Soon-Mo Jung; Bodo Volkmann

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 350 KB
Volume: 56
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1996.0022

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✦ Synopsis

If g and h are integers greater than 1, a ring W R is called a Wagner ring of type ( g; h) if all x # W "[0] are normal to base g but non-normal to base h. The existence of such rings was shown in 1989 by Wagner for the case when g is a proper odd prime divisor of h with ( g, (hÂg))=1. This result is generalized to the case of arbitrary pairs of integers g, h with g | h such that there exists a prime p 1 with p 1 |% g, p 1 | (hÂg).

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