User Terry Tao

35 votes

Accepted

The Hardy Z-function and failure of the Riemann hypothesis

answered Dec 23, 2010 at 17:43

34 votes

Proofs that require fundamentally new ways of thinking

answered Dec 9, 2010 at 17:47

34 votes

Is the Mendeleev table explained in quantum mechanics?

answered Nov 5, 2011 at 20:50

34 votes

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Where did the term "additive energy" originate?

answered Nov 18, 2015 at 20:20

34 votes

If d/dx is an operator, on what does it operate?

answered Aug 21, 2018 at 2:30

34 votes

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Can we just use the linear term of exponential sums to sum divergent series

answered Jun 19, 2023 at 4:43

33 votes

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Random sequence of integers in $\{1, 2, \dots, n \}$ which is "everywhere probably increasing" - how long can it be?

answered May 10, 2015 at 17:37

33 votes

Applications of Hardy's inequality

answered Dec 4, 2010 at 19:45

33 votes

Wonderful applications of the Vandermonde determinant

answered Oct 25, 2010 at 17:42

32 votes

How to recognise that the polynomial method might work

answered Oct 25, 2010 at 17:29

32 votes

Are infinite dimensional constructions needed to prove finite dimensional results?

answered Feb 17, 2011 at 23:13

31 votes

Real-world applications of mathematics, by arxiv subject area?

answered Oct 26, 2009 at 5:12

31 votes

Accepted

"Entropy" proof of Brunn-Minkowski Inequality?

answered May 25, 2014 at 16:03

31 votes

Applications of Rademacher's Theorem

answered Mar 21, 2013 at 17:16

30 votes

Using slides in math classroom

answered Nov 5, 2011 at 4:55

30 votes

Real-world applications of mathematics, by arxiv subject area?

answered Oct 26, 2009 at 16:13

30 votes

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Singular values of matrix sums

answered Jul 12, 2010 at 4:55

30 votes

Shortest/Most elegant proof for $L(1,\chi)\neq 0$

answered Jun 24, 2010 at 22:00

30 votes

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Dividing a cake between $n-1$, $n$, or $n+1$ guests

answered Aug 9, 2023 at 3:38

30 votes

Important (but not too well known) inequalities

answered Jun 20, 2020 at 2:13

30 votes

Intuitive explanation why "shadow operator" $\frac D{e^D-1}$ connects logarithms with trigonometric functions?

answered Jan 1, 2021 at 21:52

29 votes

An "analytic continuation" of power series coefficients

answered Aug 22, 2020 at 16:28

29 votes

Nonconvexity and discretization

answered Mar 22, 2021 at 18:09

29 votes

Cardinalities larger than the continuum in areas besides set theory

answered Nov 3, 2010 at 18:18

29 votes

What is the limit of gcd(1! + 2! + ... + (n-1)! , n!) ?

answered Jun 9, 2010 at 6:05

29 votes

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A curious determinantal inequality

answered Jun 28, 2015 at 1:17

28 votes

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Is there a known bound on prime gaps?

answered Oct 26, 2009 at 23:17

28 votes

Accepted

Do convolution and multiplication satisfy any nontrivial algebraic identities?

answered Nov 1, 2009 at 21:18

28 votes

Most intricate and most beautiful structures in mathematics

answered Dec 16, 2010 at 7:46

28 votes

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Is there a noncommutative Gaussian?

answered Nov 27, 2021 at 16:45

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467 Answers

The Hardy Z-function and failure of the Riemann hypothesis

Proofs that require fundamentally new ways of thinking

Is the Mendeleev table explained in quantum mechanics?

Where did the term "additive energy" originate?

If d/dx is an operator, on what does it operate?

Can we just use the linear term of exponential sums to sum divergent series

Random sequence of integers in $\{1, 2, \dots, n \}$ which is "everywhere probably increasing" - how long can it be?

Applications of Hardy's inequality

Wonderful applications of the Vandermonde determinant

How to recognise that the polynomial method might work

Are infinite dimensional constructions needed to prove finite dimensional results?

Real-world applications of mathematics, by arxiv subject area?

"Entropy" proof of Brunn-Minkowski Inequality?

Applications of Rademacher's Theorem

Using slides in math classroom

Real-world applications of mathematics, by arxiv subject area?

Singular values of matrix sums

Shortest/Most elegant proof for $L(1,\chi)\neq 0$

Dividing a cake between $n-1$, $n$, or $n+1$ guests

Important (but not too well known) inequalities

Intuitive explanation why "shadow operator" $\frac D{e^D-1}$ connects logarithms with trigonometric functions?

An "analytic continuation" of power series coefficients

Nonconvexity and discretization

Cardinalities larger than the continuum in areas besides set theory

What is the limit of gcd(1! + 2! + ... + (n-1)! , n!) ?

A curious determinantal inequality

Is there a known bound on prime gaps?

Do convolution and multiplication satisfy any nontrivial algebraic identities?

Most intricate and most beautiful structures in mathematics

Is there a noncommutative Gaussian?