User Jacques Carette

52 votes

Computer algebra errors

answered Feb 17, 2010 at 4:22

38 votes

Most harmful heuristic?

answered Apr 26, 2010 at 2:30

38 votes

Accepted

When does iterating $z \mapsto z^2 + c$ have an exact solution?

answered Aug 8, 2010 at 19:26

27 votes

Accepted

Euler's divergent series sum n!*(-1)^n: what is known about the resulting constant?

answered Jan 14, 2012 at 19:41

25 votes

A good reference to grok hypergeometric functions?

answered Jun 23, 2012 at 0:26

23 votes

Reasons to prefer one large prime over another to approximate characteristic zero

answered May 4, 2014 at 13:44

17 votes

Summation methods for divergent series

answered Mar 25, 2010 at 0:01

17 votes

The problem of finding the first digit in Graham's number

answered Apr 8, 2010 at 19:47

16 votes

Fast computation of a Groebner basis. What is possible?

answered Sep 21, 2014 at 14:48

16 votes

Accepted

Is there any math foundation for map/reduce?

answered Dec 18, 2011 at 2:19

15 votes

Sum of 'the first k' binomial coefficients for fixed $N$

answered Mar 5, 2010 at 19:21

15 votes

What algorithm in algebraic geometry should I work on implementing?

answered Mar 16, 2010 at 23:32

15 votes

How do they verify a verifier of formalized proofs?

answered Mar 16, 2010 at 23:54

15 votes

Geometrical meaning of Grassmann algebra

answered Apr 22, 2010 at 23:22

14 votes

Which mathematicians have influenced you the most?

answered Mar 26, 2010 at 2:04

13 votes

Accepted

Is there a dynamical system such that every orbit is either periodic or dense?

answered Jul 20, 2010 at 1:35

13 votes

Accepted

Galois theory and algorithms

answered Nov 3, 2011 at 1:31

12 votes

At which level is it currently possible to write formal proofs?

answered Jun 18, 2013 at 2:34

12 votes

Area of the boundary of the Mandelbrot set ?

answered Sep 8, 2010 at 1:27

12 votes

What is the time complexity of computing sin(x) to t bits of precision?

answered Mar 31, 2010 at 13:52

12 votes

What programming languages do mathematicians use?

answered Mar 22, 2010 at 15:07

11 votes

Why are hypergeometric series important and do they have a geometric or heuristic motivation?

answered Mar 11, 2011 at 19:05

10 votes

Getting a differential equation for a function from a functional equation of its Mellin transform

answered Aug 19, 2010 at 12:13

10 votes

Accepted

method of finding roots of polynominal equations with arithmetic operations and roots and other functions

answered Apr 30, 2010 at 12:12

10 votes

What is special about polylogarithms that leads to so many interesting identities and applications?

answered May 20, 2010 at 23:43

10 votes

Is there any disadvantage from non-academic job turn to academic job in math

answered Mar 28, 2010 at 2:47

10 votes

What notions are used but not clearly defined in modern mathematics?

answered Sep 30, 2011 at 12:31

9 votes

Failures that lead eventually to new mathematics

answered Oct 8, 2011 at 1:36

9 votes

Accepted

Logarithm of a hypergeometric series

answered Nov 7, 2011 at 22:56

9 votes

Accepted

a limit by Gosper involving a product of arctan and $4^{1/\pi}$

answered Mar 9, 2012 at 21:26

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126 Answers

Computer algebra errors

Most harmful heuristic?

When does iterating $z \mapsto z^2 + c$ have an exact solution?

Euler's divergent series sum n!*(-1)^n: what is known about the resulting constant?

A good reference to grok hypergeometric functions?

Reasons to prefer one large prime over another to approximate characteristic zero

Summation methods for divergent series

The problem of finding the first digit in Graham's number

Fast computation of a Groebner basis. What is possible?

Is there any math foundation for map/reduce?

Sum of 'the first k' binomial coefficients for fixed $N$

What algorithm in algebraic geometry should I work on implementing?

How do they verify a verifier of formalized proofs?

Geometrical meaning of Grassmann algebra

Which mathematicians have influenced you the most?

Is there a dynamical system such that every orbit is either periodic or dense?

Galois theory and algorithms

At which level is it currently possible to write formal proofs?

Area of the boundary of the Mandelbrot set ?

What is the time complexity of computing sin(x) to t bits of precision?

What programming languages do mathematicians use?

Why are hypergeometric series important and do they have a geometric or heuristic motivation?

Getting a differential equation for a function from a functional equation of its Mellin transform

method of finding roots of polynominal equations with arithmetic operations and roots and other functions

What is special about polylogarithms that leads to so many interesting identities and applications?

Is there any disadvantage from non-academic job turn to academic job in math

What notions are used but not clearly defined in modern mathematics?

Failures that lead eventually to new mathematics

Logarithm of a hypergeometric series

a limit by Gosper involving a product of arctan and $4^{1/\pi}$