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The Ingham Divisor Problem on the Set of Numbers withoutkth Powers

✍ Scribed by T. K. Ikonnikova

Book ID
110288787
Publisher
SP MAIK Nauka/Interperiodica
Year
2001
Tongue
English
Weight
203 KB
Volume
69
Category
Article
ISSN
0001-4346

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Consider the lattice of divisors of n, [1, n]. For any downset (ideal) J in [1, n] we get a forbidden configuration theorem of the type that if a set of divisors D avoids certain configurations, then ] D ] ~< I J ]. If we let 5 Β’ be the set of minimal elements of [ 1, n] not in J, then we forbid in