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Answers

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A family of words counted by the Catalan numbers

1

Varieties which become isomorphic to algebraic groups over an algebraic closure

7

Rate of growth of an explicit integral

5

Constructing Polynomial Count Varieties

3

Algebraic closure of a polynomial ring

3

If a $d \log$ form is exact, is it zero?

1

Does there exist a functorial splitting for the weight filtration (of singular cohomology)?

12

Irreducible Degrees and the Order of a Finite Group

3

Why are all these families of polynomials finally log-concave?

38

$\prod_{n=1}^{\infty} n{}^{\mu(n)}=\frac{1}{4 \pi ^2}$

7

Understanding Gibbs’s inequality

12

A simple (?) combinatorial question

2

cohomology of tangent bundle

1

Subspace of Skew-symmetric Matrices of Rank Four (2)

4

Decomposing irreducible polynomials with a prescribed condition - Existence

3

Nice proofs of the Poincaré–Birkhoff–Witt theorem

76

Why do primes dislike dividing the sum of all the preceding primes?

2

On analytic function differentiable on the circle of convergence of its Taylor series

4

The completion of a ring R is a domain then the ring R is a domain?

10

SAT and Arithmetic Geometry

3

length function of a coxeter group with respect to two different simple systems are equal or not?

2

Help with (Coxeter?) lattice identification.

3

lines through A_n reflection arrangement and permutations

2

Proof without words for surface area of a sphere

5

Combinatorial meaning of the functional equation for logarithm

2

Eigenvalues of nonnegative integer matrices

9

Little puzzle about intersections of Schubert cells.

11

Suggestions for good notation

9

Elementary proof of the equidistribution theorem

8

equivalence of maximal fields in division algebras