Ashu Pachauri
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 Jan 12 comment Number of lists of given size with given max element value where K cells (possibly overlapping) can have only multiples of certain numbers Still unable to get it. The constraint on values of divisors (see edit) makes sure, you can always fit all the divisors in one element. With same reasoning I also reached the formula you gave which seems to be incorrect (tried manually). For example, for N = 2, K = <2,3> M = 6 , P1 = 3, P2 = 2 , C2 should be 15 which comes out to be 12 by this formula. Jan 10 awarded Editor Jan 10 revised Number of lists of given size with given max element value where K cells (possibly overlapping) can have only multiples of certain numbers added 164 characters in body; edited tags Jan 10 comment Number of lists of given size with given max element value where K cells (possibly overlapping) can have only multiples of certain numbers N can be as small as 1 or as large as $10^5$. However, product of all Ks is bounded by M from above (see edit). Jan 9 asked Number of lists of given size with given max element value where K cells (possibly overlapping) can have only multiples of certain numbers Nov 12 awarded Nice Question Oct 11 comment Proof of residue theorem (residue formula) for differential forms on curves over an arbitrary closed field. @Matt I guess that's what I am looking for; Thanks. Oct 10 awarded Supporter Oct 10 awarded Student Oct 10 asked Proof of residue theorem (residue formula) for differential forms on curves over an arbitrary closed field. Oct 2 awarded Teacher Oct 2 answered Fast modulo operation Mar 26 awarded Autobiographer