184

Answers

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25

Is there any proof that you feel you do not “understand”?

3

For what spaces is the Hardy-Littlewood maximal operator of strong type $(p,p)$ if and only if $p > p_0 > 1$?

13

Compactness in Sobolev spaces

7

How many distinct eigenvalues does a random graph have?

10

Intuition behind the spectral density of random matrices

12

Ordinary Generating Function for Mobius

10

Good uses of Siegel zeros?

7

Applications of Rademacher’s Theorem

10

Reference for a nice proof of “undetermined coefficients”

14

Second order difference implies differentiability

12

Geometric interpretations of matrix inverses

15

Trichotomies in mathematics

20

When must it be sets rather than proper classes, or vice-versa, outside of foundational mathematics?

4

Prove an inequality related to moments

8

An algebra of “integrals”

26

Believing the Conjectures (2)

7

approximate uncertainty principle for finite abelian groups

4

Longtime behaviour of the periodic KdV equation

13

Möbius Randomness of the Rudin-Shapiro Sequence

6

Analytical predicate for integers over complex numbers

15

Prime spiral distribution into quadrants

14

A question about the Mobius Function

20

A Fourier-analytic inequality used by Jean Bourgain

7

Optimal bounds for an alternating sum on a downset

13

How do you present a non-existence theorem?

7

Examples of conjectures that were widely believed to be true but later proved false

16

Fundamental problems whose solution seems completely out of reach

14

Proof by `universal receiver'

4

The operator $(\partial_x+i\partial_y)(\partial_x-i\partial_y)^{-1}$

3

Are there examples of sets containing no primes but for which both Type I and Type II information can be proven?