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- W3193529496 abstract "Let p1,p2,...,pn be distinct primes. In 1970, Erdos, Herzog and Schonheim proved that if D, |D|=m, is a set of divisors of N=p1^@a^^1...pn^@a^^n, @a1>=@a2>=...>=@an, no two members of the set being coprime and if no additional member may be included in D without contradicting this requirement then m>=@an@?i=1^n^-^1(@ai+1). They asked to determine all sets D such that the equality holds. In this paper we solve this problem. We also pose several open problems for further research." @default.
- W3193529496 created "2021-08-30" @default.
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- W3193529496 date "2011-02-01" @default.
- W3193529496 modified "2023-09-27" @default.
- W3193529496 title "On a Problem of Erdős, Herzog and Schönheim" @default.
- W3193529496 hasPublicationYear "2011" @default.
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