List questions from integer-partitions

Published on 24 Nov 2020 - 4:38

59

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Number of distinct quadruples of non-negative integers

Published on 26 Nov 2020 - 17:50

33

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Cardinality of preimages of finite mappings

Published on 27 Nov 2020 - 18:52

97

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Reference for cores and quotients of partitions

Published on 27 Nov 2020 - 20:46

1.7k

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Number of ways to represent any N as sum of odd numbers?

Published on 27 Nov 2020 - 20:59

228

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$x_1 + x_2 + x_3 + x_4 = 28$ number of solutions

Published on 03 Dec 2020 - 1:04

201

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How many solutions does the equation have? (Inclusion-exclusion principle)

Published on 05 Dec 2020 - 23:20

47

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Infinite product formula for $\sum_{n \geq 0} p_e(n)\cdot x^n$

Published on 05 Dec 2020 - 23:44

179

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Prove that $p(n)$ is the number of ways of partition of $n$

Published on 06 Dec 2020 - 7:26

382

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Computing the Hardy-Ramanujan asymptotic formula using method of steepest descent/saddle point method

Published on 25 Mar 2026 - 22:03

42

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Number of partitions of $n$ in which parts can occur at most 7 times

Published on 09 Dec 2020 - 15:31

114

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There is a way to know how many partitions has a number?

Published on 12 Dec 2020 - 3:57

39

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Compare number of partitions.

Published on 12 Dec 2020 - 16:02

83

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Showing $\prod_{n\geq 1} (1+q^{2n}) = 1 + \sum_{n\geq 1} \frac{q^{n(n+1)}}{\prod_{i=1}^n (1-q^{2i})}$

Published on 14 Dec 2020 - 14:42

102

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Dominance Order on the Set of Partitions and The Hamming Weight of A Binary String

Published on 16 Dec 2020 - 17:07

List Question

Combination with Restriction and Repetition

Number of distinct quadruples of non-negative integers

Cardinality of preimages of finite mappings

Reference for cores and quotients of partitions

Number of ways to represent any N as sum of odd numbers?

$x_1 + x_2 + x_3 + x_4 = 28$ number of solutions

How many solutions does the equation have? (Inclusion-exclusion principle)

Infinite product formula for $\sum_{n \geq 0} p_e(n)\cdot x^n$

Prove that $p(n)$ is the number of ways of partition of $n$

Computing the Hardy-Ramanujan asymptotic formula using method of steepest descent/saddle point method

Number of partitions of $n$ in which parts can occur at most 7 times

There is a way to know how many partitions has a number?

Compare number of partitions.

Showing $\prod_{n\geq 1} (1+q^{2n}) = 1 + \sum_{n\geq 1} \frac{q^{n(n+1)}}{\prod_{i=1}^n (1-q^{2i})}$

Dominance Order on the Set of Partitions and The Hamming Weight of A Binary String

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