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Why is $ \frac{\pi^2}{12}=\ln(2)$ not true?

answered Jun 9, 2010 at 15:58

38 votes

What are the big problems in probability theory?

answered Aug 30, 2010 at 13:03

38 votes

What could be some potentially useful mathematical databases?

answered Jun 21, 2011 at 23:33

27 votes

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Eigenvalues of Symmetric Tridiagonal Matrices

answered May 23, 2013 at 7:51

20 votes

Why do we care about $L^p$ spaces besides $p = 1$, $p = 2$, and $p = \infty$?

answered Jun 14, 2010 at 18:33

19 votes

Least collaborative mathematician

answered Jun 21, 2010 at 13:37

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Ingenuity in mathematics

answered Sep 29, 2010 at 6:33

13 votes

Applications of Hardy's inequality

answered Dec 4, 2010 at 22:35

12 votes

Work of ICM 2010 plenary speakers (and other humans)

answered Jun 25, 2010 at 12:47

11 votes

Facts from algebraic geometry that are useful to non-algebraic geometers

answered Aug 23, 2010 at 18:29

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Is this ergodic inequality true?

answered May 3, 2011 at 8:22

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What is an integrable system?

answered Jul 5, 2010 at 23:32

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How large (small) can be the measure of a set where a polynomial takes small values ?

answered Jul 21, 2010 at 17:10

8 votes

Entropy of a general prob. measure

answered Jul 23, 2010 at 13:12

7 votes

Why were matrix determinants once such a big deal?

answered Aug 18, 2010 at 18:10

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Coefficients from Stone–Weierstrass versus Fourier transform

answered Aug 24, 2010 at 19:00

6 votes

Do boundary conditions for elliptic PDE need to be homogenous to use spectral theory?

answered Sep 9, 2010 at 0:06

6 votes

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L^2 space of holomorphic functions with given weight

answered Jun 11, 2010 at 18:00

5 votes

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Convergence of orthogonal polynomial expansions

answered Jun 24, 2010 at 18:11

5 votes

List of recently solved mathematical problems

answered Jun 28, 2010 at 12:54

5 votes

Exponential sums for beginner.

answered May 19, 2011 at 14:45

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Lyapunov Exponent and degree of chaos

answered Aug 1, 2011 at 22:34

5 votes

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Spectral theory of real symmetric matrices with random diagonal elements

answered Aug 7, 2011 at 16:38

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Application of bounded spectral theory.

answered Sep 5, 2010 at 17:02

4 votes

Visualizing Orthogonal Polynomials

answered Sep 15, 2010 at 21:38

4 votes

Is anything known about $w^*(x)=\sup_y w(x+y)/w(y)$ for measurable functions w on $R^n$

answered Jun 30, 2010 at 19:29

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Functional Analysis and its relation to mechanics

answered Jul 1, 2010 at 9:55

4 votes

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Estimation of DFT

answered Jul 25, 2010 at 9:41

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Bounding a spectral gap: what proof techniques exist?

answered Aug 1, 2010 at 20:10

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Splines, harmonic analysis, singular integrals.

answered Jul 10, 2010 at 18:18

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78 Answers

Why is $ \frac{\pi^2}{12}=\ln(2)$ not true?

What are the big problems in probability theory?

What could be some potentially useful mathematical databases?

Eigenvalues of Symmetric Tridiagonal Matrices

Why do we care about $L^p$ spaces besides $p = 1$, $p = 2$, and $p = \infty$?

Least collaborative mathematician

Ingenuity in mathematics

Applications of Hardy's inequality

Work of ICM 2010 plenary speakers (and other humans)

Facts from algebraic geometry that are useful to non-algebraic geometers

Is this ergodic inequality true?

What is an integrable system?

How large (small) can be the measure of a set where a polynomial takes small values ?

Entropy of a general prob. measure

Why were matrix determinants once such a big deal?

Coefficients from Stone–Weierstrass versus Fourier transform

Do boundary conditions for elliptic PDE need to be homogenous to use spectral theory?

L^2 space of holomorphic functions with given weight

Convergence of orthogonal polynomial expansions

List of recently solved mathematical problems

Exponential sums for beginner.

Lyapunov Exponent and degree of chaos

Spectral theory of real symmetric matrices with random diagonal elements

Application of bounded spectral theory.

Visualizing Orthogonal Polynomials

Is anything known about $w^*(x)=\sup_y w(x+y)/w(y)$ for measurable functions w on $R^n$

Functional Analysis and its relation to mechanics

Estimation of DFT

Bounding a spectral gap: what proof techniques exist?

Splines, harmonic analysis, singular integrals.