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ON A PAPER OF NIVEN AND ZUCKERMAN J. W. S. CASSELS for all integers r, m, and digits α t , , a Γ . A possibly simpler proof is as follows. 2. Proof. Let e > 0 and digits α lf , a r be given. The simple argument of Hardy-Wright [ l] shows that if the integer 5 is fixed large enough, thendoi:10.2140/pjm.1952.2.555 fatcat:frgzbdpthjanpiy6m55nofd5eu