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Generating Functions of Partitions?

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#combinatorics #generating-functions #integer-partitions
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What is the number $p(n)$ of partitions of an abundant number $n$ into distinct, proper divisors of $n$?

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#combinatorics #integer-partitions
935
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Is every integer $\geq5$ the sum of two primes and a power of a prime?

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#prime-numbers #integer-partitions #goldbachs-conjecture
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What is the difference between decomposing a number and partitioning a number?

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#arithmetic #integer-partitions
133
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Famous Arithmetic property of lotteries - restricted partition of integer into exactly k distinct parts between a given set

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#combinatorics #integer-partitions
25
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What is wrong with this "inference" about partitions?

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#integer-partitions
78
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Counting resticted partitions of a multiset with additional restrictions

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#combinatorics #combinations #integer-partitions
80
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Prove that A001399 == A069905

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#integer-partitions
93
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Counting the number of partitions that are a distance d away from a fixed partition.

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#combinatorics #algorithms #integer-partitions
1k
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Generating function for set partitions

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#combinatorics #generating-functions #integer-partitions
177
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Link between partition function and ordered partition function

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#number-theory #generating-functions #integer-partitions
66
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Partitioning a set to get a sum

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#combinatorics #summation #integer-partitions
53
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Counting unordered partitions on nested concentric disks

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#reference-request #generating-functions #integer-partitions
265
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Proof of Ramanujan's Identities of Euler's Function

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#combinatorics #complex-analysis #gamma-function #integer-partitions #infinite-product
1k
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Elementary proof of Ramanujan's "most beautiful identity"

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#sequences-and-series #integer-partitions #modular-forms #q-series

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