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Associate professor of math at UMich, very active on Mathoverflow.


May
15
comment FourierSeries for rational function looks wrong
FourierCoefficient[1/(x^2 + 1), x, 1, Assumptions -> -Pi < x < Pi] gives the correct answer.
May
15
comment FourierSeries for rational function looks wrong
Edited my example to use FourierCoefficient, so that I don't have to muck around in the interior of FourierSeries output. Thanks!
May
15
revised FourierSeries for rational function looks wrong
added 875 characters in body
May
15
answered FourierSeries for rational function looks wrong
May
7
awarded  Yearling
May
1
awarded  Necromancer
Apr
25
comment How to improve the performance of solutions to Project Euler (#39)?
Here are the list of all "record setters", perimeters which achieve higher values than any previous perimeter, for $n \leq 10^6$: {12, 60, 120, 240, 420, 720, 840, 1680, 2520, 4620, 5040, 9240, 18480, 27720, 55440, 110880, 120120, 166320, 180180, 240240, 360360, 720720}
Apr
25
comment How to improve the performance of solutions to Project Euler (#39)?
For $p \leq 10^6$, the answer is always of the form $2^a \times 3^b \times 5 \times 7 \times 11 \times 13 \times \cdots \times p_r$ for some $(a,b,r)$. If we could figure out the pattern in the exponents $(a,b)$, there might be a much faster method.
Mar
28
asked Why is Flattening a CoefficientArray so slow?
Mar
14
awarded  Nice Answer
Mar
14
awarded  Necromancer
Mar
13
revised Which DirichletCharacter is KroneckerSymbol?
deleted 6 characters in body
Mar
12
awarded  Revival
Mar
12
revised Which DirichletCharacter is KroneckerSymbol?
deleted 177 characters in body
Mar
12
answered Which DirichletCharacter is KroneckerSymbol?
Mar
12
comment Which DirichletCharacter is KroneckerSymbol?
A warning note for anyone working on this. The documentation for DirichletCharacter[] (version 8) reads "Real Dirichlet characters modulo $k$ have index $1$ or $\phi(k)/2+1$." THIS IS FALSE. There are $4$ Dirichlet characters modulo $8$ and all of them are real. It looks like the true statement is that the Dirichlet characters of index $1$ and $\phi(k)/2+1$ are real, but so are some other ones. (Run Table[DirichletCharacter[8, j, Range[8]], {j, 1, 4}] if you'd like to see for yourself.)
Mar
12
comment What is the confidence limit on this convergence?
I left an answer over on MO explaining what Mathematica may be thinking.
Mar
1
comment Permanent minors
Ah, so you did.
Mar
1
revised Permanent minors
added 619 characters in body
Feb
28
answered Permanent minors