Question

Is $ \prod_{i=1}^{\infty} \frac{1}{(1-\frac{1}{2p_i^3})} $ equivalent to this sum of partitions?

score 43 · Answer 1 · 2021-10-30 03:08:29

43

Views

Is $ \prod_{i=1}^{\infty} \frac{1}{(1-\frac{1}{2p_i^3})} $ equivalent to this sum of partitions?

Published on 30 Oct 2021 - 3:08

score 97 · Answer 2 · 2021-11-01 09:35:40

97

Views

Proving coefficient of $x^n$ in an infinite product of $(1+x^k)$ is the number of partitions of $n$ where each summand is distinct

Published on 01 Nov 2021 - 9:35

score 773 · Answer 3 · 2021-11-06 03:55:52

773

Views

What is the generating function for the number of partitions of an integer in which each part is used an even number of times?

Published on 06 Nov 2021 - 3:55

score 112 · Answer 4 · 2021-11-10 13:15:20

112

Views

Number of ways of distributing $n$ elements

Published on 10 Nov 2021 - 13:15

score 193 · Answer 5 · 2026-04-01 00:27:17

193

Views

What is the closed form solution to the sum of inverse products of parts in all compositions of n?

Published on 01 Apr 2026 - 0:27

score 121 · Answer 6 · 2021-11-12 16:02:52

121

Views

Least common multiple of three integers.

Published on 12 Nov 2021 - 16:02

score 217 · Answer 7 · 2026-03-27 10:46:10

217

Views

Number of Jordan forms from given characteristic polynomial and partitions

Published on 27 Mar 2026 - 10:46

score 638 · Answer 8 · 2021-11-21 14:14:25

638

Views

Number of ways to write 1 as sum of unit fractions

Published on 21 Nov 2021 - 14:14

score 137 · Answer 9 · 2021-11-27 14:43:25

137

Views

Recurrence relations in the generating function of binary partitions

Published on 27 Nov 2021 - 14:43

score 47 · Answer 10 · 2026-02-23 13:04:51

47

Views

Express an integer $m$ as sum of 1, 0 and -1 for fixed number of summands $j$

Published on 23 Feb 2026 - 13:04

score 72 · Answer 11 · 2021-12-05 17:31:01

72

Views

Sum of Prime Factorizations and Primes

Published on 05 Dec 2021 - 17:31

score 434 · Answer 12 · 2026-03-30 22:59:55

434

Views

How many different ways are there to make n dollars with 1, 5, 10, 25, and 50 cent coins.

Published on 30 Mar 2026 - 22:59

score 84 · Answer 13 · 2021-12-10 23:35:47

84

Views

Demonstration for the equal number of odd and unequal partitions of an integer

Published on 10 Dec 2021 - 23:35

score 112 · Answer 14 · 2021-12-21 13:48:44

112

Views

Counting number of possible sequences given two constraints

Published on 21 Dec 2021 - 13:48

score 69 · Answer 15 · 2021-12-26 13:53:05

69

Views

Error in my derivation of $\binom{2n-1}{n}$ as number of partitions of $n$

Published on 26 Dec 2021 - 13:53

List Question

Is $ \prod_{i=1}^{\infty} \frac{1}{(1-\frac{1}{2p_i^3})} $ equivalent to this sum of partitions?

Proving coefficient of $x^n$ in an infinite product of $(1+x^k)$ is the number of partitions of $n$ where each summand is distinct

What is the generating function for the number of partitions of an integer in which each part is used an even number of times?

Number of ways of distributing $n$ elements

What is the closed form solution to the sum of inverse products of parts in all compositions of n?

Least common multiple of three integers.

Number of Jordan forms from given characteristic polynomial and partitions

Number of ways to write 1 as sum of unit fractions

Recurrence relations in the generating function of binary partitions

Express an integer $m$ as sum of 1, 0 and -1 for fixed number of summands $j$

Sum of Prime Factorizations and Primes

How many different ways are there to make n dollars with 1, 5, 10, 25, and 50 cent coins.

Demonstration for the equal number of odd and unequal partitions of an integer

Counting number of possible sequences given two constraints

Error in my derivation of $\binom{2n-1}{n}$ as number of partitions of $n$

Trending Questions

Popular # Hahtags

Popular Questions