User KConrad

21 votes

Accepted

Independence over Q and Kroneckers result

answered Mar 14, 2010 at 15:55

21 votes

Origins of functional field arithmetic

answered Feb 25, 2010 at 2:24

21 votes

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Sylow Subgroups

answered Mar 19, 2010 at 19:52

21 votes

What are examples of mathematical concepts named after the wrong people? (Stigler's law)

answered May 10, 2010 at 21:31

21 votes

Why were matrix determinants once such a big deal?

answered Aug 18, 2010 at 20:41

21 votes

Diophantine equation with no integer solutions, but with solutions modulo every integer

answered Nov 27, 2010 at 19:34

21 votes

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Quotients of number rings

answered Aug 6, 2011 at 11:20

21 votes

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Explicit family of number rings $\mathcal{O}_{K_n}$ requiring $n$ generators?

answered Sep 22, 2018 at 1:41

21 votes

Widely accepted mathematical results that were later shown to be wrong?

answered Dec 12, 2014 at 20:18

20 votes

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Are there any solutions to the diophantine equation $x^n-2y^n=1$ with $x>1$ and $n>2$?

answered Dec 13, 2016 at 15:19

20 votes

"Natural" generating sets for symmetric groups

answered May 10, 2010 at 20:59

20 votes

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Equivalent statements of the Riemann hypothesis in the Weil conjectures

answered Jan 16, 2010 at 17:29

20 votes

Why do we care about the eigenvalues of the Frobenius map?

answered Oct 26, 2022 at 22:54

20 votes

What is the difference between elementary and non-elementary proofs of the Prime Number Theorem?

answered Apr 13, 2023 at 14:09

19 votes

Zorn's lemma: old friend or historical relic?

answered Dec 11, 2022 at 18:35

19 votes

Strong induction without a base case

answered Jan 17, 2010 at 1:53

19 votes

Does the image of a p-adic Galois representation always lie in a finite extension?

answered Mar 11, 2010 at 2:12

19 votes

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Factorial Rings and The Axiom of Choice

answered May 14, 2010 at 0:13

19 votes

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When are roots of power series algebraic?

answered Oct 23, 2011 at 5:41

19 votes

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Proof of the result that the Galois group of a specialization is a subgroup of the original group?

answered Aug 4, 2010 at 21:13

19 votes

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Class number of non-maximal order in imaginary quadratic function field?

answered Jul 15, 2010 at 22:39

19 votes

Proof that pi is transcendental that doesn't use the infinitude of primes

answered Nov 14, 2016 at 1:02

19 votes

When do people actually use the maximum entropy distribution?

answered Nov 30, 2014 at 6:08

19 votes

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Should I expect functions to have analytic continuations?

answered Jun 29, 2020 at 0:58

18 votes

Have the tides ever turned twice on any open problem?

answered Mar 17, 2019 at 17:51

18 votes

Why does the Gamma-function complete the Riemann Zeta function?

answered Apr 17, 2019 at 13:32

18 votes

Teaching polarisation formula

answered Dec 15, 2016 at 14:08

18 votes

Does a group have a unique pro-p topology?

answered Feb 17, 2010 at 0:55

17 votes

Why are two "random" vectors in $\mathbb R^n$ approximately orthogonal for large $n$?

answered Aug 28, 2016 at 15:47

17 votes

Accepted

Spinoffs of analytic number theory

answered May 24, 2013 at 15:00

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363 Answers

Independence over Q and Kroneckers result

Origins of functional field arithmetic

Sylow Subgroups

What are examples of mathematical concepts named after the wrong people? (Stigler's law)

Why were matrix determinants once such a big deal?

Diophantine equation with no integer solutions, but with solutions modulo every integer

Quotients of number rings

Explicit family of number rings $\mathcal{O}_{K_n}$ requiring $n$ generators?

Widely accepted mathematical results that were later shown to be wrong?

Are there any solutions to the diophantine equation $x^n-2y^n=1$ with $x>1$ and $n>2$?

"Natural" generating sets for symmetric groups

Equivalent statements of the Riemann hypothesis in the Weil conjectures

Why do we care about the eigenvalues of the Frobenius map?

What is the difference between elementary and non-elementary proofs of the Prime Number Theorem?

Zorn's lemma: old friend or historical relic?

Strong induction without a base case

Does the image of a p-adic Galois representation always lie in a finite extension?

Factorial Rings and The Axiom of Choice

When are roots of power series algebraic?

Proof of the result that the Galois group of a specialization is a subgroup of the original group?

Class number of non-maximal order in imaginary quadratic function field?

Proof that pi is transcendental that doesn't use the infinitude of primes

When do people actually use the maximum entropy distribution?

Should I expect functions to have analytic continuations?

Have the tides ever turned twice on any open problem?

Why does the Gamma-function complete the Riemann Zeta function?

Teaching polarisation formula

Does a group have a unique pro-p topology?

Why are two "random" vectors in $\mathbb R^n$ approximately orthogonal for large $n$?

Spinoffs of analytic number theory