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On thin sets of primes expressible as sumsets

โœ Scribed by Ernest S. Croot III; Christian Elsholtz


Publisher
Akadmiai Kiad
Year
2005
Tongue
English
Weight
318 KB
Volume
106
Category
Article
ISSN
1588-2632

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On Sets of Natural Numbers Whose Sumset
โœ Tomasz Schoen ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 78 KB

Let A be a set of natural numbers such that the set A+A contains no perfect squares. We prove that if the density d(A) exists, it is not larger than 2ร‚5. ## 1999 Academic Press In this note we are concerned with a problem of Erdo s and Silverman (see ) who asked about the maximal density d max of