32

Answers

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5

nontrivial theorems with trivial proofs

13

Exact formulas for the partition function?

4

Help with a double sum, please

0

Showing a matrix is negative definite [formerly Showing a sum is always positive]

6

What are some examples of interesting uses of the theory of combinatorial species?

3

How does this relationship between the Catalan numbers and SU(2) generalize?

-1

What is the combinatorial intepretation to this identity?

2

Finding a recursion for a sum of Legendre polynomials

0

Examples of two different descriptions of a set that are not obviously equivalent?

3

does the j-invariant satisfy a rational differential equation?

7

What is the relationship between the Bell numbers, the Bell polynomials, and the partition numbers?

5

Number of spanning trees in a grid

3

Finding recurrence relation for a sequence of polynomials

1

Are the q-Catalan numbers q-holonomic?

3

Can you find linear recurrence relation for dimensions of invariant tensors?

3

An example of a series that is not differentially algebraic?

1

Summation of an expression

2

Algorithm for summing certain sums involving the floor function

1

How can we realize different combinatorial objects as the dimension of a construction on vector spaces? Are the resulting algebras useful?

1

Proving a hypergeometric function identity

1

Modular equations for quasimodular forms

4

Is there a natural family of languages whose generating functions are holonomic (i.e. D-finite)?

1

Decreasing coefficients?

0

A list of symmetric statistics (2)

2

“inversion” of a convolution

1

What are some early examples of creation of lists / catalogues of (particularly) combinatorial objects?

4

can the Newton’s identities and Dodgson’s condensations be proved by Gessel-Viennot’s lemma?

2

Name of an operation on graphs

0

Trying to sum a series (related to catalan numbers perhaps)

10

Generalization’s of Greene’s Theorem for the Robinson-Schensted correspondence