Vol. 36, No. 3, 1971

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Some number theoretic results

Paul Erdős and Ernst Gabor Straus

Vol. 36 (1971), No. 3, 635–646
Abstract

The paper first establishes the order of magnitude of maximal sets, S, of residues ( mod p) so that the sums of different numbers of elements are distinct.

In the second part irrationalities of Lambert Series of the form f(n)∕α1an are obtained where f(n) = d(n)(n) or φ(n) and the ai are integers, ai 2, which satisfy suitable growth conditions.

Mathematical Subject Classification
Primary: 10.55
Milestones
Received: 27 May 1970
Published: 1 March 1971
Authors
Paul Erdős
Ernst Gabor Straus