User Mark Lewko - MathOverflow

48 votes

9 answers

8k views

What is the oldest open math problem outside of number theory?

asked Sep 13, 2024 at 6:01

37 votes

2 answers

4k views

The Bourgain-Demeter-Guth breakthrough and the Riemann zeta function?

asked Dec 9, 2015 at 7:57

27 votes

1 answer

2k views

Does a proof of Selberg's 3.2 inequality exist?

asked Jun 13, 2013 at 21:40

22 votes

2 answers

1k views

Is there an L^p tauberian theorem?

asked Nov 5, 2009 at 5:12

19 votes

1 answer

985 views

Steinhaus's Easter Egg Problem

asked Apr 5, 2015 at 16:43

18 votes

1 answer

3k views

Where did the term "additive energy" originate?

asked Nov 18, 2015 at 18:41

17 votes

1 answer

960 views

Fourier Series with Mobius coefficients

asked Jul 12, 2021 at 0:24

15 votes

1 answer

582 views

Is the number of representations as the sum of two elements of a polynomial sequence always small?

asked Mar 2, 2016 at 5:06

15 votes

2 answers

1k views

Sylvester–Gallai theorem for small sets in a finite field

asked Sep 18, 2022 at 14:38

14 votes

1 answer

804 views

The first case of the strong Littlewood conjecture

asked Jul 11, 2022 at 7:59

14 votes

3 answers

3k views

Computing the maximum salary

asked Nov 20, 2009 at 4:11

14 votes

5 answers

1k views

Examples of asymptotic formulas with optimal error term

asked Apr 20, 2010 at 7:09

12 votes

1 answer

3k views

What is the best known upper bound for the number of twin primes?

asked Aug 6, 2010 at 2:10

12 votes

1 answer

2k views

Squares in an arithmetic progression

asked Mar 30, 2012 at 19:48

12 votes

1 answer

681 views

Is a Fourier-free presentation of Roth's proof of Roth's theorem possible?

asked Mar 13 at 3:06

11 votes

0 answers

434 views

Sobolev's PDE Scottish Book Problem (Problem 188)

asked Nov 29, 2024 at 20:55

11 votes

1 answer

1k views

Why are Deligne-type exponential sum estimates so hard to use?

asked Mar 14, 2023 at 23:11

11 votes

1 answer

2k views

Basic examples of induction on scales arguments

asked Feb 4, 2012 at 0:29

8 votes

1 answer

804 views

Integral of the error estimate in the prime number theorem

asked Nov 26, 2009 at 20:49

8 votes

0 answers

295 views

Number of representations of an integer as the dot product of integer vectors

asked Mar 28, 2017 at 18:20

7 votes

1 answer

573 views

Examples of the large sieve inequality where a constant larger than 1 is needed

asked Jul 10, 2017 at 16:08

7 votes

2 answers

702 views

Smallest k-term AP of primes

asked Dec 12, 2009 at 9:59

7 votes

3 answers

1k views

Can Stein's maximal principle be strengthened?

asked May 22, 2010 at 3:03

6 votes

1 answer

258 views

Approximating an iteratively defined function

asked Jan 3, 2014 at 5:55

6 votes

0 answers

231 views

Is there a decomposition strengthening of the Sauer-Shelah Lemma?

asked Oct 7, 2015 at 19:05

5 votes

1 answer

393 views

Does a Kloosterman sum composed with a rational function exhibit square root cancellation?

asked Jan 9, 2018 at 20:26

5 votes

1 answer

636 views

How many squares can be formed by $n$ points in general position in the plane?

asked Jul 27, 2020 at 17:30

5 votes

4 answers

4k views

longest consecutive subsequence of a random permutation

asked Mar 2, 2010 at 2:44

5 votes

2 answers

805 views

Binary codes with large distance

asked Jan 31, 2010 at 2:58

4 votes

2 answers

751 views

"half arithmetic progressions" in dense sets

asked Oct 29, 2009 at 19:27

Stack Exchange Network

44 Questions

What is the oldest open math problem outside of number theory?

The Bourgain-Demeter-Guth breakthrough and the Riemann zeta function?

Does a proof of Selberg's 3.2 inequality exist?

Is there an L^p tauberian theorem?

Steinhaus's Easter Egg Problem

Where did the term "additive energy" originate?

Fourier Series with Mobius coefficients

Is the number of representations as the sum of two elements of a polynomial sequence always small?

Sylvester–Gallai theorem for small sets in a finite field

The first case of the strong Littlewood conjecture

Computing the maximum salary

Examples of asymptotic formulas with optimal error term

What is the best known upper bound for the number of twin primes?

Squares in an arithmetic progression

Is a Fourier-free presentation of Roth's proof of Roth's theorem possible?

Sobolev's PDE Scottish Book Problem (Problem 188)

Why are Deligne-type exponential sum estimates so hard to use?

Basic examples of induction on scales arguments

Integral of the error estimate in the prime number theorem

Number of representations of an integer as the dot product of integer vectors

Examples of the large sieve inequality where a constant larger than 1 is needed

Smallest k-term AP of primes

Can Stein's maximal principle be strengthened?

Approximating an iteratively defined function

Is there a decomposition strengthening of the Sauer-Shelah Lemma?

Does a Kloosterman sum composed with a rational function exhibit square root cancellation?

How many squares can be formed by $n$ points in general position in the plane?

longest consecutive subsequence of a random permutation

Binary codes with large distance

"half arithmetic progressions" in dense sets