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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