User Richard Stanley

30 votes

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Two divergent series conspiring?

answered Mar 4, 2017 at 4:32

29 votes

Applications of the Chinese remainder theorem

answered Dec 29, 2009 at 17:27

29 votes

What are some mathematical concepts that were (pretty much) created from scratch and do not owe a debt to previous work?

answered Apr 16, 2010 at 23:57

27 votes

What are the connections between pi and prime numbers?

answered Mar 3, 2010 at 20:19

27 votes

Generalizing a problem to make it easier

answered Sep 26, 2010 at 20:27

27 votes

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Evaluating a remarkable term for primes p = 5 (mod. 8)

answered Apr 19, 2015 at 21:07

26 votes

Is this a rational function?

answered May 31, 2015 at 17:57

26 votes

Fantastic properties of Z/2Z

answered Nov 15, 2013 at 1:59

26 votes

Lifting matrices mod 2 to integers.

answered Mar 15, 2010 at 1:40

25 votes

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How to place k bishops on an nxn chessboard

answered Feb 7, 2011 at 18:44

24 votes

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What is the generating function for skew Young diagrams?

answered Jan 21, 2012 at 3:30

24 votes

Is it true that, as $\Bbb Z$-modules, the polynomial ring and the power series ring over integers are dual to each other?

answered Dec 31, 2009 at 16:48

24 votes

Have any long-suspected irrational numbers turned out to be rational?

answered Aug 1, 2019 at 22:22

23 votes

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A series that is rational?

answered Jul 10, 2020 at 21:17

23 votes

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Highbrow interpretations of Stirling number reciprocity

answered Dec 25, 2009 at 3:52

23 votes

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Is there an "elegant" non-recursive formula for these coefficients? Also, how can one get proofs of these patterns?

answered Jan 26, 2012 at 15:18

22 votes

Best algebraic geometry textbook? (other than Hartshorne)

answered Dec 17, 2009 at 3:44

22 votes

Who first noticed that Stirling numbers of the second kind count partitions?

answered Oct 26, 2014 at 19:43

22 votes

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what else is in $\prod_{j=1}^n(1+q^j)$?

answered Dec 17, 2016 at 1:05

21 votes

Every mathematician has only a few tricks

answered Jun 17, 2020 at 20:48

21 votes

Small ideas that became big

answered Sep 21, 2020 at 23:45

21 votes

The character table of the symmetric group modulo m

answered Nov 28, 2021 at 16:22

21 votes

Laurent series in several complex variables

answered Sep 24, 2022 at 14:56

20 votes

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Positivity of a one-variable rational function

answered Mar 31, 2022 at 15:42

20 votes

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Moebius function of finite abelian groups

answered Dec 5, 2021 at 13:57

20 votes

Tiling a rectangle with all simply connected polyominoes of fixed size

answered Dec 15, 2020 at 2:49

20 votes

Combinatorial sequences whose ratios $a_{n+1}/a_{n}$ are integers

answered Feb 1, 2010 at 20:34

20 votes

Counterexamples in algebra?

answered Jun 25, 2010 at 0:35

20 votes

Most 'unintuitive' application of the Axiom of Choice?

answered Jan 3, 2012 at 0:54

20 votes

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Fastest growing set of odd numbers such that any even number can be expressed as the sum of two elements.

answered Sep 5, 2011 at 17:20

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461 Answers

Two divergent series conspiring?

Applications of the Chinese remainder theorem

What are some mathematical concepts that were (pretty much) created from scratch and do not owe a debt to previous work?

What are the connections between pi and prime numbers?

Generalizing a problem to make it easier

Evaluating a remarkable term for primes p = 5 (mod. 8)

Is this a rational function?

Fantastic properties of Z/2Z

Lifting matrices mod 2 to integers.

How to place k bishops on an nxn chessboard

What is the generating function for skew Young diagrams?

Is it true that, as $\Bbb Z$-modules, the polynomial ring and the power series ring over integers are dual to each other?

Have any long-suspected irrational numbers turned out to be rational?

A series that is rational?

Highbrow interpretations of Stirling number reciprocity

Is there an "elegant" non-recursive formula for these coefficients? Also, how can one get proofs of these patterns?

Best algebraic geometry textbook? (other than Hartshorne)

Who first noticed that Stirling numbers of the second kind count partitions?

what else is in $\prod_{j=1}^n(1+q^j)$?

Every mathematician has only a few tricks

Small ideas that became big

The character table of the symmetric group modulo m

Laurent series in several complex variables

Positivity of a one-variable rational function

Moebius function of finite abelian groups

Tiling a rectangle with all simply connected polyominoes of fixed size

Combinatorial sequences whose ratios $a_{n+1}/a_{n}$ are integers

Counterexamples in algebra?

Most 'unintuitive' application of the Axiom of Choice?

Fastest growing set of odd numbers such that any even number can be expressed as the sum of two elements.