Abstract
THIS monograph, the title of which is somewhat abstruse, deals in fact with certain aspects of prime-number theory. Though self-contained in presentation, it is a continuation of the author's "Eratosthenian Averages"(Baltimore, 1943). A knowledge of analytical prime-number theory and of Tauberian theorems is assumed, and even readers possessing this knowledge will probably not find the book easy reading. The greater part of it is concerned with the properties of the set of all integers that are divisible only by the primes of a given sequence, and in particular the various senses in which the set may have a 'density'.
The Theory of Measure in Arithmetical Semi-Groups
By Aurel Wintner. Pp. v+56. (Baltimore, Md.: The Author, Johns Hopkins University, 1944.) 2 dollars.
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The Theory of Measure in Arithmetical Semi-Groups. Nature 155, 531 (1945). https://doi.org/10.1038/155531d0
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DOI: https://doi.org/10.1038/155531d0