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15
29
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Summation indices suspiciously don’t align

Published on
#finite-groups #symmetric-groups #integer-partitions
193
Views

Show that $\exp(f(z)) = \frac{1}{1−z}$

Published on
#combinatorics #complex-analysis #integer-partitions #egyptian-fractions
115
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Formula concerning partitions of $n$ and their transpose

Published on
#number-theory #integer-partitions
81
Views

Show that series converges by estimating number of partitions into distinct parts

Published on
#sequences-and-series #number-theory #analytic-number-theory #integer-partitions
86
Views

How many ways can someone choose a permutation $w $ and color each one of the integers [n] so that the minimum element of every cycle of w is white?

Published on
#combinatorics #integer-partitions #algebraic-combinatorics
56
Views

Partitions without repetition

Published on
#number-theory #generating-functions #integer-partitions
44
Views

Show that $p(n-k, k)=p^2(n, k)$

Published on
#number-theory #integer-partitions
53
Views

The binary partition function $b(n)$ is even for all $n \ge 2$.

Published on
#integer-partitions
213
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How many sets of 10 distinct positive integers sum to at most 2021?

Published on
#combinatorics #integer-partitions
109
Views

Conjugate of conjugate partition

Published on
#combinatorics #integers #integer-partitions
19
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The binary partition function satisfies congruence $b(2n) \equiv 1+a(n) \pmod 4$ for all $n \ge 1$.

Published on
#integer-partitions
160
Views

Is there a way to find the values of 3 variables with just one equation?

Published on
#multivariable-calculus #diophantine-equations #numerical-linear-algebra #integer-partitions #linear-diophantine-equations
143
Views

two-variable generating function for all number partitions

Published on
#generating-functions #integer-partitions
205
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Partitions of a number for a fixed number of integers

Published on
#combinatorics #number-theory #terminology #integer-partitions
73
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Recurrence relation for partitions of n into parts of size either 1 or 2

Published on
#combinatorics #recurrence-relations #integer-partitions

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