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Number of Jordan forms from given characteristic polynomial and partitions
linear-algebra
number-theory
integer-partitions
jordan-normal-form
characteristic-polynomial
Number of ways to partition $40$ balls with $4$ colors into $4$ baskets
combinatorics
integer-partitions
balls-in-bins
Proof of the duality of the dominance order on partitions
combinatorics
integer-partitions
alternative-proof
Partition Generating Function
combinatorics
generating-functions
integer-partitions
Number of partitions of $50$
elementary-number-theory
integer-partitions
Recurrence relations in the generating function of binary partitions
generating-functions
binary
integer-partitions
Formula for evaluation of character on a transposition
combinatorics
reference-request
representation-theory
integer-partitions
characters
How many solutions does the equation $x_1 + x_2 + x_3 = 11$ have, where $x_1, x_2, x_3$ are nonnegative integers?
combinatorics
integer-partitions
Identity involving pentagonal numbers
number-theory
congruences
integer-partitions
Bijection for $q$-binomial coefficient
combinatorics
binomial-coefficients
integer-partitions
q-analogs
Error in solution of Peter Winkler "red and blue dice" puzzle?
combinatorics
puzzle
integer-partitions
How many ways can $133$ be written as sum of only $1s$ and $2s$
combinatorics
number-theory
integer-partitions
Number of partitions of $2n$ with no element greater than $n$
integer-partitions
Partitions with at most k parts, each of at most l
combinatorics
integer-partitions
The number of ways to write a positive integer as the sum of distinct parts with a fixed length
combinatorics
number-theory
generating-functions
integer-partitions
What weights should I buy for my gym? (a case of integer partitioning)
combinatorics
number-theory
applications
integer-partitions
Express an integer $m$ as sum of 1, 0 and -1 for fixed number of summands $j$
combinatorics
integer-partitions
combinatorial-number-theory
Sum of Prime Factorizations and Primes
elementary-number-theory
prime-numbers
prime-factorization
integer-partitions
Bijective Proof - partitions
integer-partitions
Proving that odd partitions and distinct partitions are equal
sequences-and-series
generating-functions
infinite-product
integer-partitions
q-series
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