User Denis Chaperon de Lauzières

27 votes

How does one motivate the analytic continuation of the Riemann zeta function?

answered Mar 10, 2011 at 7:01

24 votes

Most striking applications of category theory?

answered Jul 27, 2012 at 18:38

22 votes

Does the equation $1 + 2 + 3 + \dots = -\frac{1}{12}$ have a natural $p$-adic interpretation?

answered Jan 2, 2012 at 11:46

21 votes

Accepted

Advances and difficulties in effective version of Thue-Roth-Siegel Theorem

answered Mar 18, 2011 at 18:02

20 votes

Accepted

A question on the sum of element orders of a finite group

answered Sep 3, 2011 at 16:15

16 votes

What relationship, if any, is there between the diameter of the Cayley graph and the average distance between group elements?

answered Apr 13, 2011 at 5:37

16 votes

Vanishing cycles in a nutshell?

answered Feb 21, 2011 at 7:29

11 votes

Accepted

Erdos Kac for imaginary class number

answered Feb 11, 2012 at 0:55

10 votes

learning crystalline cohomology

answered Feb 26, 2011 at 18:48

9 votes

Accepted

Order of $\zeta(1+it)$

answered Mar 7, 2011 at 6:20

9 votes

Why isn't meromorphic continuation enough for converse theorems?

answered Apr 29, 2011 at 16:08

8 votes

Elementary proof of the equidistribution theorem

answered Sep 19, 2011 at 5:22

8 votes

Proofs of Mordell-Weil theorem

answered Aug 7, 2011 at 16:15

7 votes

Accepted

Sign conventions for a Chevalley basis of a simple complex Lie algebra

answered Dec 18, 2011 at 11:54

7 votes

Accepted

Explicit formula for completely multiplicative functions $a,b$ such that $\tau = a * b$; $\tau$ is Ramanujan's tau function, and $*$ is the Dirichlet convolution.

answered Jun 13, 2011 at 20:00

7 votes

Nonvanishing of central L-values of quadratic twists?

answered Feb 26, 2011 at 19:05

6 votes

Accepted

Selberg's orthonormality conjecture and density

answered Mar 27, 2011 at 17:35

6 votes

Exponential sums for beginner.

answered May 19, 2011 at 17:25

5 votes

A generalized Möbius function?

answered Dec 20, 2011 at 5:16

5 votes

Accepted

Conjugation stable generating sets in almost simple groups

answered Oct 31, 2011 at 11:56

5 votes

Accepted

How are these number-theoretical constants actually distributed?

answered Nov 24, 2011 at 9:17

5 votes

Accepted

Sums of Kloosterman sums over primes

answered Nov 25, 2011 at 10:21

5 votes

Why should I believe the Mordell Conjecture?

answered Feb 20, 2011 at 16:16

5 votes

Automorphisms of the Selberg class

answered Mar 13, 2011 at 22:04

4 votes

Is the number of irreducible representations of G always bigger (or equal) to the number of irreducible representations of H, with H a subgroup of G?

answered Apr 4, 2011 at 16:25

4 votes

Why is Lie's Third Theorem difficult?

answered Apr 12, 2011 at 19:59

4 votes

Accepted

What properties define open loci in families?

answered Mar 8, 2011 at 18:07

4 votes

presentations of Sp(n, Z) and cocycles.

answered Oct 24, 2011 at 16:58

3 votes

Inverse of the Riemann zeta function

answered Aug 10, 2011 at 16:00

3 votes

What's known about complete split primes in Q(E[p])?

answered Oct 10, 2011 at 5:22

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41 Answers

How does one motivate the analytic continuation of the Riemann zeta function?

Most striking applications of category theory?

Does the equation $1 + 2 + 3 + \dots = -\frac{1}{12}$ have a natural $p$-adic interpretation?

Advances and difficulties in effective version of Thue-Roth-Siegel Theorem

A question on the sum of element orders of a finite group

What relationship, if any, is there between the diameter of the Cayley graph and the average distance between group elements?

Vanishing cycles in a nutshell?

Erdos Kac for imaginary class number

learning crystalline cohomology

Order of $\zeta(1+it)$

Why isn't meromorphic continuation enough for converse theorems?

Elementary proof of the equidistribution theorem

Proofs of Mordell-Weil theorem

Sign conventions for a Chevalley basis of a simple complex Lie algebra

Explicit formula for completely multiplicative functions $a,b$ such that $\tau = a * b$; $\tau$ is Ramanujan's tau function, and $*$ is the Dirichlet convolution.

Nonvanishing of central L-values of quadratic twists?

Selberg's orthonormality conjecture and density

Exponential sums for beginner.

A generalized Möbius function?

Conjugation stable generating sets in almost simple groups

How are these number-theoretical constants actually distributed?

Sums of Kloosterman sums over primes

Why should I believe the Mordell Conjecture?

Automorphisms of the Selberg class

Is the number of irreducible representations of G always bigger (or equal) to the number of irreducible representations of H, with H a subgroup of G?

Why is Lie's Third Theorem difficult?

What properties define open loci in families?

presentations of Sp(n, Z) and cocycles.

Inverse of the Riemann zeta function

What's known about complete split primes in Q(E[p])?